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Finding the Fourth Proportional to 473.67, 651.57 and 446.79

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Solution

The fourth proportional to 473.67, 651.57 and 446.79 is: 614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.67 : 651.57 = 446.79 : x
  2. Step 2: Convert to fraction form
    473.67/651.57 = 446.79/x
  3. Step 3: Cross multiply
    473.67x = 651.57 × 446.79
  4. Step 4: Simplify right side
    473.67x = 291,114.96
  5. Step 5: Solve for x
    x = 291,114.96/473.67
  6. Step 6: Final answer
    x = 614.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.