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Finding the Fourth Proportional to 715.52, 987.33 and 435.91

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Solution

The fourth proportional to 715.52, 987.33 and 435.91 is: 601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.52 : 987.33 = 435.91 : x
  2. Step 2: Convert to fraction form
    715.52/987.33 = 435.91/x
  3. Step 3: Cross multiply
    715.52x = 987.33 × 435.91
  4. Step 4: Simplify right side
    715.52x = 430,387.02
  5. Step 5: Solve for x
    x = 430,387.02/715.52
  6. Step 6: Final answer
    x = 601.50

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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.