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Finding the Fourth Proportional to 473.60, 710.25 and 254.09

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Solution

The fourth proportional to 473.60, 710.25 and 254.09 is: 381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 710.25 = 254.09 : x
  2. Step 2: Convert to fraction form
    473.60/710.25 = 254.09/x
  3. Step 3: Cross multiply
    473.60x = 710.25 × 254.09
  4. Step 4: Simplify right side
    473.60x = 180,463.87
  5. Step 5: Solve for x
    x = 180,463.87/473.60
  6. Step 6: Final answer
    x = 381.05

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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.