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Finding the Fourth Proportional to 588.75, 812.88 and 356.28

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Solution

The fourth proportional to 588.75, 812.88 and 356.28 is: 491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 812.88 = 356.28 : x
  2. Step 2: Convert to fraction form
    588.75/812.88 = 356.28/x
  3. Step 3: Cross multiply
    588.75x = 812.88 × 356.28
  4. Step 4: Simplify right side
    588.75x = 289,612.89
  5. Step 5: Solve for x
    x = 289,612.89/588.75
  6. Step 6: Final answer
    x = 491.91

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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.