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Finding the Fourth Proportional to 499.14, 747.48 and 383.10

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Solution

The fourth proportional to 499.14, 747.48 and 383.10 is: 573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.14 : 747.48 = 383.10 : x
  2. Step 2: Convert to fraction form
    499.14/747.48 = 383.10/x
  3. Step 3: Cross multiply
    499.14x = 747.48 × 383.10
  4. Step 4: Simplify right side
    499.14x = 286,359.59
  5. Step 5: Solve for x
    x = 286,359.59/499.14
  6. Step 6: Final answer
    x = 573.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.