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Finding the Fourth Proportional to 557.47, 769.28 and 308.80

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Solution

The fourth proportional to 557.47, 769.28 and 308.80 is: 426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.47 : 769.28 = 308.80 : x
  2. Step 2: Convert to fraction form
    557.47/769.28 = 308.80/x
  3. Step 3: Cross multiply
    557.47x = 769.28 × 308.80
  4. Step 4: Simplify right side
    557.47x = 237,552.51
  5. Step 5: Solve for x
    x = 237,552.51/557.47
  6. Step 6: Final answer
    x = 426.13

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