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Finding the Fourth Proportional to 477.90, 713.07 and 466.83

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Solution

The fourth proportional to 477.90, 713.07 and 466.83 is: 696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 713.07 = 466.83 : x
  2. Step 2: Convert to fraction form
    477.90/713.07 = 466.83/x
  3. Step 3: Cross multiply
    477.90x = 713.07 × 466.83
  4. Step 4: Simplify right side
    477.90x = 332,882.47
  5. Step 5: Solve for x
    x = 332,882.47/477.90
  6. Step 6: Final answer
    x = 696.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.