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Finding the Fourth Proportional to 648.52, 895.26 and 438.88

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Solution

The fourth proportional to 648.52, 895.26 and 438.88 is: 605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.52 : 895.26 = 438.88 : x
  2. Step 2: Convert to fraction form
    648.52/895.26 = 438.88/x
  3. Step 3: Cross multiply
    648.52x = 895.26 × 438.88
  4. Step 4: Simplify right side
    648.52x = 392,911.71
  5. Step 5: Solve for x
    x = 392,911.71/648.52
  6. Step 6: Final answer
    x = 605.86

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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.