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Finding the Fourth Proportional to 424.94, 637.48 and 147.28

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Solution

The fourth proportional to 424.94, 637.48 and 147.28 is: 220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.94 : 637.48 = 147.28 : x
  2. Step 2: Convert to fraction form
    424.94/637.48 = 147.28/x
  3. Step 3: Cross multiply
    424.94x = 637.48 × 147.28
  4. Step 4: Simplify right side
    424.94x = 93,888.05
  5. Step 5: Solve for x
    x = 93,888.05/424.94
  6. Step 6: Final answer
    x = 220.94

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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.