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Finding the Fourth Proportional to 648.96, 895.56 and 354.22

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Solution

The fourth proportional to 648.96, 895.56 and 354.22 is: 488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 895.56 = 354.22 : x
  2. Step 2: Convert to fraction form
    648.96/895.56 = 354.22/x
  3. Step 3: Cross multiply
    648.96x = 895.56 × 354.22
  4. Step 4: Simplify right side
    648.96x = 317,225.26
  5. Step 5: Solve for x
    x = 317,225.26/648.96
  6. Step 6: Final answer
    x = 488.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.