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Finding the Fourth Proportional to 585.02, 877.59 and 432.87

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Solution

The fourth proportional to 585.02, 877.59 and 432.87 is: 649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.02 : 877.59 = 432.87 : x
  2. Step 2: Convert to fraction form
    585.02/877.59 = 432.87/x
  3. Step 3: Cross multiply
    585.02x = 877.59 × 432.87
  4. Step 4: Simplify right side
    585.02x = 379,882.38
  5. Step 5: Solve for x
    x = 379,882.38/585.02
  6. Step 6: Final answer
    x = 649.35

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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.