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Finding the Fourth Proportional to 432.40, 647.62 and 334.21

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Solution

The fourth proportional to 432.40, 647.62 and 334.21 is: 500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.40 : 647.62 = 334.21 : x
  2. Step 2: Convert to fraction form
    432.40/647.62 = 334.21/x
  3. Step 3: Cross multiply
    432.40x = 647.62 × 334.21
  4. Step 4: Simplify right side
    432.40x = 216,436.17
  5. Step 5: Solve for x
    x = 216,436.17/432.40
  6. Step 6: Final answer
    x = 500.55

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