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Finding the Fourth Proportional to 500.46, 691.11 and 473.19

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Solution

The fourth proportional to 500.46, 691.11 and 473.19 is: 653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.46 : 691.11 = 473.19 : x
  2. Step 2: Convert to fraction form
    500.46/691.11 = 473.19/x
  3. Step 3: Cross multiply
    500.46x = 691.11 × 473.19
  4. Step 4: Simplify right side
    500.46x = 327,026.34
  5. Step 5: Solve for x
    x = 327,026.34/500.46
  6. Step 6: Final answer
    x = 653.45

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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.