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Finding the Fourth Proportional to 592.75, 817.71 and 460.87

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Solution

The fourth proportional to 592.75, 817.71 and 460.87 is: 635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.75 : 817.71 = 460.87 : x
  2. Step 2: Convert to fraction form
    592.75/817.71 = 460.87/x
  3. Step 3: Cross multiply
    592.75x = 817.71 × 460.87
  4. Step 4: Simplify right side
    592.75x = 376,858.01
  5. Step 5: Solve for x
    x = 376,858.01/592.75
  6. Step 6: Final answer
    x = 635.78

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Find fourth proportional to 296.38, 408.86 and 230.44
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.