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Finding the Fourth Proportional to 713.58, 984.38 and 477.59

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Solution

The fourth proportional to 713.58, 984.38 and 477.59 is: 658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 984.38 = 477.59 : x
  2. Step 2: Convert to fraction form
    713.58/984.38 = 477.59/x
  3. Step 3: Cross multiply
    713.58x = 984.38 × 477.59
  4. Step 4: Simplify right side
    713.58x = 470,122.73
  5. Step 5: Solve for x
    x = 470,122.73/713.58
  6. Step 6: Final answer
    x = 658.82

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Double scale
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1.5x scale

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.