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Finding the Fourth Proportional to 499.78, 689.48 and 297.85

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Solution

The fourth proportional to 499.78, 689.48 and 297.85 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.78 : 689.48 = 297.85 : x
  2. Step 2: Convert to fraction form
    499.78/689.48 = 297.85/x
  3. Step 3: Cross multiply
    499.78x = 689.48 × 297.85
  4. Step 4: Simplify right side
    499.78x = 205,360.64
  5. Step 5: Solve for x
    x = 205,360.64/499.78
  6. Step 6: Final answer
    x = 410.90

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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.