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Finding the Fourth Proportional to 432.69, 597.17 and 285.98

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Solution

The fourth proportional to 432.69, 597.17 and 285.98 is: 394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.69 : 597.17 = 285.98 : x
  2. Step 2: Convert to fraction form
    432.69/597.17 = 285.98/x
  3. Step 3: Cross multiply
    432.69x = 597.17 × 285.98
  4. Step 4: Simplify right side
    432.69x = 170,778.68
  5. Step 5: Solve for x
    x = 170,778.68/432.69
  6. Step 6: Final answer
    x = 394.69

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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.