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Finding the Fourth Proportional to 648.79, 895.33 and 354.08

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Solution

The fourth proportional to 648.79, 895.33 and 354.08 is: 488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.79 : 895.33 = 354.08 : x
  2. Step 2: Convert to fraction form
    648.79/895.33 = 354.08/x
  3. Step 3: Cross multiply
    648.79x = 895.33 × 354.08
  4. Step 4: Simplify right side
    648.79x = 317,016.85
  5. Step 5: Solve for x
    x = 317,016.85/648.79
  6. Step 6: Final answer
    x = 488.63

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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.