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Finding the Fourth Proportional to 582.28, 872.30 and 438.60

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Solution

The fourth proportional to 582.28, 872.30 and 438.60 is: 657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.28 : 872.30 = 438.60 : x
  2. Step 2: Convert to fraction form
    582.28/872.30 = 438.60/x
  3. Step 3: Cross multiply
    582.28x = 872.30 × 438.60
  4. Step 4: Simplify right side
    582.28x = 382,590.78
  5. Step 5: Solve for x
    x = 382,590.78/582.28
  6. Step 6: Final answer
    x = 657.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.