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Finding the Fourth Proportional to 502.65, 753.62 and 259.02

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Solution

The fourth proportional to 502.65, 753.62 and 259.02 is: 388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.65 : 753.62 = 259.02 : x
  2. Step 2: Convert to fraction form
    502.65/753.62 = 259.02/x
  3. Step 3: Cross multiply
    502.65x = 753.62 × 259.02
  4. Step 4: Simplify right side
    502.65x = 195,201.36
  5. Step 5: Solve for x
    x = 195,201.36/502.65
  6. Step 6: Final answer
    x = 388.34

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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.