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Finding the Fourth Proportional to 592.12, 817.06 and 356.07

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Solution

The fourth proportional to 592.12, 817.06 and 356.07 is: 491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 817.06 = 356.07 : x
  2. Step 2: Convert to fraction form
    592.12/817.06 = 356.07/x
  3. Step 3: Cross multiply
    592.12x = 817.06 × 356.07
  4. Step 4: Simplify right side
    592.12x = 290,934.06
  5. Step 5: Solve for x
    x = 290,934.06/592.12
  6. Step 6: Final answer
    x = 491.34

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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.