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Finding the Fourth Proportional to 502.48, 752.64 and 285.40

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Solution

The fourth proportional to 502.48, 752.64 and 285.40 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.48 : 752.64 = 285.40 : x
  2. Step 2: Convert to fraction form
    502.48/752.64 = 285.40/x
  3. Step 3: Cross multiply
    502.48x = 752.64 × 285.40
  4. Step 4: Simplify right side
    502.48x = 214,803.46
  5. Step 5: Solve for x
    x = 214,803.46/502.48
  6. Step 6: Final answer
    x = 427.49

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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.