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Finding the Fourth Proportional to 648.86, 895.43 and 354.13

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Solution

The fourth proportional to 648.86, 895.43 and 354.13 is: 488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 895.43 = 354.13 : x
  2. Step 2: Convert to fraction form
    648.86/895.43 = 354.13/x
  3. Step 3: Cross multiply
    648.86x = 895.43 × 354.13
  4. Step 4: Simplify right side
    648.86x = 317,094.62
  5. Step 5: Solve for x
    x = 317,094.62/648.86
  6. Step 6: Final answer
    x = 488.70

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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.