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Finding the Fourth Proportional to 499.23, 689.85 and 400.68

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Solution

The fourth proportional to 499.23, 689.85 and 400.68 is: 553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.23 : 689.85 = 400.68 : x
  2. Step 2: Convert to fraction form
    499.23/689.85 = 400.68/x
  3. Step 3: Cross multiply
    499.23x = 689.85 × 400.68
  4. Step 4: Simplify right side
    499.23x = 276,409.10
  5. Step 5: Solve for x
    x = 276,409.10/499.23
  6. Step 6: Final answer
    x = 553.67

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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.