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Finding the Fourth Proportional to 506.48, 698.90 and 296.70

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Solution

The fourth proportional to 506.48, 698.90 and 296.70 is: 409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.48 : 698.90 = 296.70 : x
  2. Step 2: Convert to fraction form
    506.48/698.90 = 296.70/x
  3. Step 3: Cross multiply
    506.48x = 698.90 × 296.70
  4. Step 4: Simplify right side
    506.48x = 207,363.63
  5. Step 5: Solve for x
    x = 207,363.63/506.48
  6. Step 6: Final answer
    x = 409.42

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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.