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Finding the Fourth Proportional to 648.57, 895.02 and 353.85

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Solution

The fourth proportional to 648.57, 895.02 and 353.85 is: 488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.57 : 895.02 = 353.85 : x
  2. Step 2: Convert to fraction form
    648.57/895.02 = 353.85/x
  3. Step 3: Cross multiply
    648.57x = 895.02 × 353.85
  4. Step 4: Simplify right side
    648.57x = 316,703.71
  5. Step 5: Solve for x
    x = 316,703.71/648.57
  6. Step 6: Final answer
    x = 488.31

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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.