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Finding the Fourth Proportional to 432.80, 597.05 and 292.93

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Solution

The fourth proportional to 432.80, 597.05 and 292.93 is: 404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 597.05 = 292.93 : x
  2. Step 2: Convert to fraction form
    432.80/597.05 = 292.93/x
  3. Step 3: Cross multiply
    432.80x = 597.05 × 292.93
  4. Step 4: Simplify right side
    432.80x = 174,890.90
  5. Step 5: Solve for x
    x = 174,890.90/432.80
  6. Step 6: Final answer
    x = 404.09

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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.