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Finding the Fourth Proportional to 584.28, 880.70 and 576.08

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Solution

The fourth proportional to 584.28, 880.70 and 576.08 is: 868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 880.70 = 576.08 : x
  2. Step 2: Convert to fraction form
    584.28/880.70 = 576.08/x
  3. Step 3: Cross multiply
    584.28x = 880.70 × 576.08
  4. Step 4: Simplify right side
    584.28x = 507,346.37
  5. Step 5: Solve for x
    x = 507,346.37/584.28
  6. Step 6: Final answer
    x = 868.33

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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.