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Finding the Fourth Proportional to 716.07, 988.27 and 432.50

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Solution

The fourth proportional to 716.07, 988.27 and 432.50 is: 596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.07 : 988.27 = 432.50 : x
  2. Step 2: Convert to fraction form
    716.07/988.27 = 432.50/x
  3. Step 3: Cross multiply
    716.07x = 988.27 × 432.50
  4. Step 4: Simplify right side
    716.07x = 427,426.78
  5. Step 5: Solve for x
    x = 427,426.78/716.07
  6. Step 6: Final answer
    x = 596.91

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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.