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Finding the Fourth Proportional to 499.76, 688.46 and 415.38

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Solution

The fourth proportional to 499.76, 688.46 and 415.38 is: 572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.76 : 688.46 = 415.38 : x
  2. Step 2: Convert to fraction form
    499.76/688.46 = 415.38/x
  3. Step 3: Cross multiply
    499.76x = 688.46 × 415.38
  4. Step 4: Simplify right side
    499.76x = 285,970.44
  5. Step 5: Solve for x
    x = 285,970.44/499.76
  6. Step 6: Final answer
    x = 572.22

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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.