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Finding the Fourth Proportional to 502.98, 751.22 and 421.89

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Solution

The fourth proportional to 502.98, 751.22 and 421.89 is: 630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.98 : 751.22 = 421.89 : x
  2. Step 2: Convert to fraction form
    502.98/751.22 = 421.89/x
  3. Step 3: Cross multiply
    502.98x = 751.22 × 421.89
  4. Step 4: Simplify right side
    502.98x = 316,930.10
  5. Step 5: Solve for x
    x = 316,930.10/502.98
  6. Step 6: Final answer
    x = 630.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.