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Finding the Fourth Proportional to 372.16, 512.96 and 306.24

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Solution

The fourth proportional to 372.16, 512.96 and 306.24 is: 422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.16 : 512.96 = 306.24 : x
  2. Step 2: Convert to fraction form
    372.16/512.96 = 306.24/x
  3. Step 3: Cross multiply
    372.16x = 512.96 × 306.24
  4. Step 4: Simplify right side
    372.16x = 157,088.87
  5. Step 5: Solve for x
    x = 157,088.87/372.16
  6. Step 6: Final answer
    x = 422.10

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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.