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Finding the Fourth Proportional to 648.67, 895.16 and 353.93

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Solution

The fourth proportional to 648.67, 895.16 and 353.93 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.67 : 895.16 = 353.93 : x
  2. Step 2: Convert to fraction form
    648.67/895.16 = 353.93/x
  3. Step 3: Cross multiply
    648.67x = 895.16 × 353.93
  4. Step 4: Simplify right side
    648.67x = 316,823.98
  5. Step 5: Solve for x
    x = 316,823.98/648.67
  6. Step 6: Final answer
    x = 488.42

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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.