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Finding the Fourth Proportional to 371.65, 557.58 and 331.35

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Solution

The fourth proportional to 371.65, 557.58 and 331.35 is: 497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.65 : 557.58 = 331.35 : x
  2. Step 2: Convert to fraction form
    371.65/557.58 = 331.35/x
  3. Step 3: Cross multiply
    371.65x = 557.58 × 331.35
  4. Step 4: Simplify right side
    371.65x = 184,754.13
  5. Step 5: Solve for x
    x = 184,754.13/371.65
  6. Step 6: Final answer
    x = 497.12

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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.