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Finding the Fourth Proportional to 502.64, 752.74 and 307.76

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Solution

The fourth proportional to 502.64, 752.74 and 307.76 is: 460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.64 : 752.74 = 307.76 : x
  2. Step 2: Convert to fraction form
    502.64/752.74 = 307.76/x
  3. Step 3: Cross multiply
    502.64x = 752.74 × 307.76
  4. Step 4: Simplify right side
    502.64x = 231,663.26
  5. Step 5: Solve for x
    x = 231,663.26/502.64
  6. Step 6: Final answer
    x = 460.89

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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.