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Finding the Fourth Proportional to 432.35, 646.95 and 372.21

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Solution

The fourth proportional to 432.35, 646.95 and 372.21 is: 556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.35 : 646.95 = 372.21 : x
  2. Step 2: Convert to fraction form
    432.35/646.95 = 372.21/x
  3. Step 3: Cross multiply
    432.35x = 646.95 × 372.21
  4. Step 4: Simplify right side
    432.35x = 240,801.26
  5. Step 5: Solve for x
    x = 240,801.26/432.35
  6. Step 6: Final answer
    x = 556.96

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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.