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Finding the Fourth Proportional to 429.89, 643.10 and 372.74

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Solution

The fourth proportional to 429.89, 643.10 and 372.74 is: 557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.89 : 643.10 = 372.74 : x
  2. Step 2: Convert to fraction form
    429.89/643.10 = 372.74/x
  3. Step 3: Cross multiply
    429.89x = 643.10 × 372.74
  4. Step 4: Simplify right side
    429.89x = 239,704.01
  5. Step 5: Solve for x
    x = 239,704.01/429.89
  6. Step 6: Final answer
    x = 557.60

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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.