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Finding the Fourth Proportional to 648.68, 895.20 and 353.98

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Solution

The fourth proportional to 648.68, 895.20 and 353.98 is: 488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 895.20 = 353.98 : x
  2. Step 2: Convert to fraction form
    648.68/895.20 = 353.98/x
  3. Step 3: Cross multiply
    648.68x = 895.20 × 353.98
  4. Step 4: Simplify right side
    648.68x = 316,878.42
  5. Step 5: Solve for x
    x = 316,878.42/648.68
  6. Step 6: Final answer
    x = 488.50

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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.