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Finding the Fourth Proportional to 410.52, 564.90 and 335.16

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Solution

The fourth proportional to 410.52, 564.90 and 335.16 is: 461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.52 : 564.90 = 335.16 : x
  2. Step 2: Convert to fraction form
    410.52/564.90 = 335.16/x
  3. Step 3: Cross multiply
    410.52x = 564.90 × 335.16
  4. Step 4: Simplify right side
    410.52x = 189,331.88
  5. Step 5: Solve for x
    x = 189,331.88/410.52
  6. Step 6: Final answer
    x = 461.20

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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.