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Finding the Fourth Proportional to 506.45, 698.90 and 296.76

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Solution

The fourth proportional to 506.45, 698.90 and 296.76 is: 409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.45 : 698.90 = 296.76 : x
  2. Step 2: Convert to fraction form
    506.45/698.90 = 296.76/x
  3. Step 3: Cross multiply
    506.45x = 698.90 × 296.76
  4. Step 4: Simplify right side
    506.45x = 207,404.08
  5. Step 5: Solve for x
    x = 207,404.08/506.45
  6. Step 6: Final answer
    x = 409.53

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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.