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Finding the Fourth Proportional to 473.36, 710.24 and 257.09

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Solution

The fourth proportional to 473.36, 710.24 and 257.09 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.36 : 710.24 = 257.09 : x
  2. Step 2: Convert to fraction form
    473.36/710.24 = 257.09/x
  3. Step 3: Cross multiply
    473.36x = 710.24 × 257.09
  4. Step 4: Simplify right side
    473.36x = 182,590.76
  5. Step 5: Solve for x
    x = 182,590.76/473.36
  6. Step 6: Final answer
    x = 385.74

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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.