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Finding the Fourth Proportional to 500.53, 691.34 and 353.81

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Solution

The fourth proportional to 500.53, 691.34 and 353.81 is: 488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.53 : 691.34 = 353.81 : x
  2. Step 2: Convert to fraction form
    500.53/691.34 = 353.81/x
  3. Step 3: Cross multiply
    500.53x = 691.34 × 353.81
  4. Step 4: Simplify right side
    500.53x = 244,603.01
  5. Step 5: Solve for x
    x = 244,603.01/500.53
  6. Step 6: Final answer
    x = 488.69

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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.