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Finding the Fourth Proportional to 585.12, 877.92 and 477.12

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Solution

The fourth proportional to 585.12, 877.92 and 477.12 is: 715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.12 : 877.92 = 477.12 : x
  2. Step 2: Convert to fraction form
    585.12/877.92 = 477.12/x
  3. Step 3: Cross multiply
    585.12x = 877.92 × 477.12
  4. Step 4: Simplify right side
    585.12x = 418,873.19
  5. Step 5: Solve for x
    x = 418,873.19/585.12
  6. Step 6: Final answer
    x = 715.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.