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Finding the Fourth Proportional to 432.92, 597.02 and 258.24

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Solution

The fourth proportional to 432.92, 597.02 and 258.24 is: 356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.92 : 597.02 = 258.24 : x
  2. Step 2: Convert to fraction form
    432.92/597.02 = 258.24/x
  3. Step 3: Cross multiply
    432.92x = 597.02 × 258.24
  4. Step 4: Simplify right side
    432.92x = 154,174.44
  5. Step 5: Solve for x
    x = 154,174.44/432.92
  6. Step 6: Final answer
    x = 356.13

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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.