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Finding the Fourth Proportional to 499.66, 689.62 and 313.31

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Solution

The fourth proportional to 499.66, 689.62 and 313.31 is: 432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.66 : 689.62 = 313.31 : x
  2. Step 2: Convert to fraction form
    499.66/689.62 = 313.31/x
  3. Step 3: Cross multiply
    499.66x = 689.62 × 313.31
  4. Step 4: Simplify right side
    499.66x = 216,061.55
  5. Step 5: Solve for x
    x = 216,061.55/499.66
  6. Step 6: Final answer
    x = 432.42

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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.