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Finding the Fourth Proportional to 499.46, 689.24 and 313.02

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Solution

The fourth proportional to 499.46, 689.24 and 313.02 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.46 : 689.24 = 313.02 : x
  2. Step 2: Convert to fraction form
    499.46/689.24 = 313.02/x
  3. Step 3: Cross multiply
    499.46x = 689.24 × 313.02
  4. Step 4: Simplify right side
    499.46x = 215,746.69
  5. Step 5: Solve for x
    x = 215,746.69/499.46
  6. Step 6: Final answer
    x = 431.96

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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.