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Finding the Fourth Proportional to 499.11, 689.74 and 400.70

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Solution

The fourth proportional to 499.11, 689.74 and 400.70 is: 553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.11 : 689.74 = 400.70 : x
  2. Step 2: Convert to fraction form
    499.11/689.74 = 400.70/x
  3. Step 3: Cross multiply
    499.11x = 689.74 × 400.70
  4. Step 4: Simplify right side
    499.11x = 276,378.82
  5. Step 5: Solve for x
    x = 276,378.82/499.11
  6. Step 6: Final answer
    x = 553.74

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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.