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Finding the Fourth Proportional to 506.76, 698.40 and 375.72

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Solution

The fourth proportional to 506.76, 698.40 and 375.72 is: 517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.76 : 698.40 = 375.72 : x
  2. Step 2: Convert to fraction form
    506.76/698.40 = 375.72/x
  3. Step 3: Cross multiply
    506.76x = 698.40 × 375.72
  4. Step 4: Simplify right side
    506.76x = 262,402.85
  5. Step 5: Solve for x
    x = 262,402.85/506.76
  6. Step 6: Final answer
    x = 517.80

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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.