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Finding the Fourth Proportional to 432.59, 647.66 and 295.43

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Solution

The fourth proportional to 432.59, 647.66 and 295.43 is: 442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.59 : 647.66 = 295.43 : x
  2. Step 2: Convert to fraction form
    432.59/647.66 = 295.43/x
  3. Step 3: Cross multiply
    432.59x = 647.66 × 295.43
  4. Step 4: Simplify right side
    432.59x = 191,335.69
  5. Step 5: Solve for x
    x = 191,335.69/432.59
  6. Step 6: Final answer
    x = 442.31

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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.