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Finding the Fourth Proportional to 473.74, 710.12 and 257.46

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Solution

The fourth proportional to 473.74, 710.12 and 257.46 is: 385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.74 : 710.12 = 257.46 : x
  2. Step 2: Convert to fraction form
    473.74/710.12 = 257.46/x
  3. Step 3: Cross multiply
    473.74x = 710.12 × 257.46
  4. Step 4: Simplify right side
    473.74x = 182,827.50
  5. Step 5: Solve for x
    x = 182,827.50/473.74
  6. Step 6: Final answer
    x = 385.92

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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.