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Finding the Fourth Proportional to 473.40, 709.44 and 257.16

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Solution

The fourth proportional to 473.40, 709.44 and 257.16 is: 385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 709.44 = 257.16 : x
  2. Step 2: Convert to fraction form
    473.40/709.44 = 257.16/x
  3. Step 3: Cross multiply
    473.40x = 709.44 × 257.16
  4. Step 4: Simplify right side
    473.40x = 182,439.59
  5. Step 5: Solve for x
    x = 182,439.59/473.40
  6. Step 6: Final answer
    x = 385.38

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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.