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Finding the Fourth Proportional to 552.78, 762.84 and 304.13

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Solution

The fourth proportional to 552.78, 762.84 and 304.13 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.78 : 762.84 = 304.13 : x
  2. Step 2: Convert to fraction form
    552.78/762.84 = 304.13/x
  3. Step 3: Cross multiply
    552.78x = 762.84 × 304.13
  4. Step 4: Simplify right side
    552.78x = 232,002.53
  5. Step 5: Solve for x
    x = 232,002.53/552.78
  6. Step 6: Final answer
    x = 419.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.