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Finding the Fourth Proportional to 557.48, 769.70 and 498.28

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Solution

The fourth proportional to 557.48, 769.70 and 498.28 is: 687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 769.70 = 498.28 : x
  2. Step 2: Convert to fraction form
    557.48/769.70 = 498.28/x
  3. Step 3: Cross multiply
    557.48x = 769.70 × 498.28
  4. Step 4: Simplify right side
    557.48x = 383,529.59
  5. Step 5: Solve for x
    x = 383,529.59/557.48
  6. Step 6: Final answer
    x = 687.97

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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.