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Finding the Fourth Proportional to 507.60, 755.60 and 502.08

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Solution

The fourth proportional to 507.60, 755.60 and 502.08 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 755.60 = 502.08 : x
  2. Step 2: Convert to fraction form
    507.60/755.60 = 502.08/x
  3. Step 3: Cross multiply
    507.60x = 755.60 × 502.08
  4. Step 4: Simplify right side
    507.60x = 379,371.65
  5. Step 5: Solve for x
    x = 379,371.65/507.60
  6. Step 6: Final answer
    x = 747.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.