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Finding the Fourth Proportional to 648.88, 895.47 and 354.15

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Solution

The fourth proportional to 648.88, 895.47 and 354.15 is: 488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.88 : 895.47 = 354.15 : x
  2. Step 2: Convert to fraction form
    648.88/895.47 = 354.15/x
  3. Step 3: Cross multiply
    648.88x = 895.47 × 354.15
  4. Step 4: Simplify right side
    648.88x = 317,126.22
  5. Step 5: Solve for x
    x = 317,126.22/648.88
  6. Step 6: Final answer
    x = 488.73

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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.