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Finding the Fourth Proportional to 420.39, 630.48 and 282.89

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Solution

The fourth proportional to 420.39, 630.48 and 282.89 is: 424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.39 : 630.48 = 282.89 : x
  2. Step 2: Convert to fraction form
    420.39/630.48 = 282.89/x
  3. Step 3: Cross multiply
    420.39x = 630.48 × 282.89
  4. Step 4: Simplify right side
    420.39x = 178,359.12
  5. Step 5: Solve for x
    x = 178,359.12/420.39
  6. Step 6: Final answer
    x = 424.27

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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.