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Finding the Fourth Proportional to 473.72, 710.46 and 148.92

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Solution

The fourth proportional to 473.72, 710.46 and 148.92 is: 223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 710.46 = 148.92 : x
  2. Step 2: Convert to fraction form
    473.72/710.46 = 148.92/x
  3. Step 3: Cross multiply
    473.72x = 710.46 × 148.92
  4. Step 4: Simplify right side
    473.72x = 105,801.70
  5. Step 5: Solve for x
    x = 105,801.70/473.72
  6. Step 6: Final answer
    x = 223.34

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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.