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Finding the Fourth Proportional to 432.15, 648.50 and 237.28

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Solution

The fourth proportional to 432.15, 648.50 and 237.28 is: 356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.15 : 648.50 = 237.28 : x
  2. Step 2: Convert to fraction form
    432.15/648.50 = 237.28/x
  3. Step 3: Cross multiply
    432.15x = 648.50 × 237.28
  4. Step 4: Simplify right side
    432.15x = 153,876.08
  5. Step 5: Solve for x
    x = 153,876.08/432.15
  6. Step 6: Final answer
    x = 356.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.