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Finding the Fourth Proportional to 499.57, 689.28 and 313.15

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Solution

The fourth proportional to 499.57, 689.28 and 313.15 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.57 : 689.28 = 313.15 : x
  2. Step 2: Convert to fraction form
    499.57/689.28 = 313.15/x
  3. Step 3: Cross multiply
    499.57x = 689.28 × 313.15
  4. Step 4: Simplify right side
    499.57x = 215,848.03
  5. Step 5: Solve for x
    x = 215,848.03/499.57
  6. Step 6: Final answer
    x = 432.07

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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.