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Finding the Fourth Proportional to 658.20, 905.76 and 583.68

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Solution

The fourth proportional to 658.20, 905.76 and 583.68 is: 803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.20 : 905.76 = 583.68 : x
  2. Step 2: Convert to fraction form
    658.20/905.76 = 583.68/x
  3. Step 3: Cross multiply
    658.20x = 905.76 × 583.68
  4. Step 4: Simplify right side
    658.20x = 528,674.00
  5. Step 5: Solve for x
    x = 528,674.00/658.20
  6. Step 6: Final answer
    x = 803.21

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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.