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Finding the Fourth Proportional to 473.52, 713.50 and 394.14

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Solution

The fourth proportional to 473.52, 713.50 and 394.14 is: 593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.52 : 713.50 = 394.14 : x
  2. Step 2: Convert to fraction form
    473.52/713.50 = 394.14/x
  3. Step 3: Cross multiply
    473.52x = 713.50 × 394.14
  4. Step 4: Simplify right side
    473.52x = 281,218.89
  5. Step 5: Solve for x
    x = 281,218.89/473.52
  6. Step 6: Final answer
    x = 593.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.