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Finding the Fourth Proportional to 557.66, 769.61 and 309

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Solution

The fourth proportional to 557.66, 769.61 and 309 is: 426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.66 : 769.61 = 309 : x
  2. Step 2: Convert to fraction form
    557.66/769.61 = 309/x
  3. Step 3: Cross multiply
    557.66x = 769.61 × 309
  4. Step 4: Simplify right side
    557.66x = 237,807.95
  5. Step 5: Solve for x
    x = 237,807.95/557.66
  6. Step 6: Final answer
    x = 426.44

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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.