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Finding the Fourth Proportional to 370.59, 511.65 and 257.24

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Solution

The fourth proportional to 370.59, 511.65 and 257.24 is: 355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.59 : 511.65 = 257.24 : x
  2. Step 2: Convert to fraction form
    370.59/511.65 = 257.24/x
  3. Step 3: Cross multiply
    370.59x = 511.65 × 257.24
  4. Step 4: Simplify right side
    370.59x = 131,613.00
  5. Step 5: Solve for x
    x = 131,613.00/370.59
  6. Step 6: Final answer
    x = 355.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.