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Finding the Fourth Proportional to 473.76, 710.64 and 149.13

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Solution

The fourth proportional to 473.76, 710.64 and 149.13 is: 223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 710.64 = 149.13 : x
  2. Step 2: Convert to fraction form
    473.76/710.64 = 149.13/x
  3. Step 3: Cross multiply
    473.76x = 710.64 × 149.13
  4. Step 4: Simplify right side
    473.76x = 105,977.74
  5. Step 5: Solve for x
    x = 105,977.74/473.76
  6. Step 6: Final answer
    x = 223.70

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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.