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Finding the Fourth Proportional to 648.60, 895.06 and 353.86

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Solution

The fourth proportional to 648.60, 895.06 and 353.86 is: 488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.60 : 895.06 = 353.86 : x
  2. Step 2: Convert to fraction form
    648.60/895.06 = 353.86/x
  3. Step 3: Cross multiply
    648.60x = 895.06 × 353.86
  4. Step 4: Simplify right side
    648.60x = 316,725.93
  5. Step 5: Solve for x
    x = 316,725.93/648.60
  6. Step 6: Final answer
    x = 488.32

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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.