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Finding the Fourth Proportional to 502.88, 753.48 and 409.84

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Solution

The fourth proportional to 502.88, 753.48 and 409.84 is: 614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.88 : 753.48 = 409.84 : x
  2. Step 2: Convert to fraction form
    502.88/753.48 = 409.84/x
  3. Step 3: Cross multiply
    502.88x = 753.48 × 409.84
  4. Step 4: Simplify right side
    502.88x = 308,804.36
  5. Step 5: Solve for x
    x = 308,804.36/502.88
  6. Step 6: Final answer
    x = 614.08

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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.