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Finding the Fourth Proportional to 372.32, 512.64 and 354.08

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Solution

The fourth proportional to 372.32, 512.64 and 354.08 is: 487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.32 : 512.64 = 354.08 : x
  2. Step 2: Convert to fraction form
    372.32/512.64 = 354.08/x
  3. Step 3: Cross multiply
    372.32x = 512.64 × 354.08
  4. Step 4: Simplify right side
    372.32x = 181,515.57
  5. Step 5: Solve for x
    x = 181,515.57/372.32
  6. Step 6: Final answer
    x = 487.53

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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.