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Finding the Fourth Proportional to 502.65, 752.76 and 285.30

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Solution

The fourth proportional to 502.65, 752.76 and 285.30 is: 427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.65 : 752.76 = 285.30 : x
  2. Step 2: Convert to fraction form
    502.65/752.76 = 285.30/x
  3. Step 3: Cross multiply
    502.65x = 752.76 × 285.30
  4. Step 4: Simplify right side
    502.65x = 214,762.43
  5. Step 5: Solve for x
    x = 214,762.43/502.65
  6. Step 6: Final answer
    x = 427.26

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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.