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Finding the Fourth Proportional to 499.07, 688.95 and 312.83

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Solution

The fourth proportional to 499.07, 688.95 and 312.83 is: 431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.07 : 688.95 = 312.83 : x
  2. Step 2: Convert to fraction form
    499.07/688.95 = 312.83/x
  3. Step 3: Cross multiply
    499.07x = 688.95 × 312.83
  4. Step 4: Simplify right side
    499.07x = 215,524.23
  5. Step 5: Solve for x
    x = 215,524.23/499.07
  6. Step 6: Final answer
    x = 431.85

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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.