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Finding the Fourth Proportional to 653.28, 984.46 and 588.34

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Solution

The fourth proportional to 653.28, 984.46 and 588.34 is: 886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.28 : 984.46 = 588.34 : x
  2. Step 2: Convert to fraction form
    653.28/984.46 = 588.34/x
  3. Step 3: Cross multiply
    653.28x = 984.46 × 588.34
  4. Step 4: Simplify right side
    653.28x = 579,197.20
  5. Step 5: Solve for x
    x = 579,197.20/653.28
  6. Step 6: Final answer
    x = 886.60

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