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Finding the Fourth Proportional to 557.86, 769.84 and 309.17

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Solution

The fourth proportional to 557.86, 769.84 and 309.17 is: 426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 769.84 = 309.17 : x
  2. Step 2: Convert to fraction form
    557.86/769.84 = 309.17/x
  3. Step 3: Cross multiply
    557.86x = 769.84 × 309.17
  4. Step 4: Simplify right side
    557.86x = 238,011.43
  5. Step 5: Solve for x
    x = 238,011.43/557.86
  6. Step 6: Final answer
    x = 426.65

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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.