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Finding the Fourth Proportional to 473.48, 709.86 and 257.24

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Solution

The fourth proportional to 473.48, 709.86 and 257.24 is: 385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.48 : 709.86 = 257.24 : x
  2. Step 2: Convert to fraction form
    473.48/709.86 = 257.24/x
  3. Step 3: Cross multiply
    473.48x = 709.86 × 257.24
  4. Step 4: Simplify right side
    473.48x = 182,604.39
  5. Step 5: Solve for x
    x = 182,604.39/473.48
  6. Step 6: Final answer
    x = 385.66

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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.