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Finding the Fourth Proportional to 557.68, 769.56 and 309

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Solution

The fourth proportional to 557.68, 769.56 and 309 is: 426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.68 : 769.56 = 309 : x
  2. Step 2: Convert to fraction form
    557.68/769.56 = 309/x
  3. Step 3: Cross multiply
    557.68x = 769.56 × 309
  4. Step 4: Simplify right side
    557.68x = 237,794.04
  5. Step 5: Solve for x
    x = 237,794.04/557.68
  6. Step 6: Final answer
    x = 426.40

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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.