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Finding the Fourth Proportional to 462.51, 637.20 and 432.27

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Solution

The fourth proportional to 462.51, 637.20 and 432.27 is: 595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.51 : 637.20 = 432.27 : x
  2. Step 2: Convert to fraction form
    462.51/637.20 = 432.27/x
  3. Step 3: Cross multiply
    462.51x = 637.20 × 432.27
  4. Step 4: Simplify right side
    462.51x = 275,442.44
  5. Step 5: Solve for x
    x = 275,442.44/462.51
  6. Step 6: Final answer
    x = 595.54

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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.