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Finding the Fourth Proportional to 410.88, 618.24 and 334.08

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Solution

The fourth proportional to 410.88, 618.24 and 334.08 is: 502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.88 : 618.24 = 334.08 : x
  2. Step 2: Convert to fraction form
    410.88/618.24 = 334.08/x
  3. Step 3: Cross multiply
    410.88x = 618.24 × 334.08
  4. Step 4: Simplify right side
    410.88x = 206,541.62
  5. Step 5: Solve for x
    x = 206,541.62/410.88
  6. Step 6: Final answer
    x = 502.68

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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.