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Finding the Fourth Proportional to 648.72, 895.20 and 400.20

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Solution

The fourth proportional to 648.72, 895.20 and 400.20 is: 552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.72 : 895.20 = 400.20 : x
  2. Step 2: Convert to fraction form
    648.72/895.20 = 400.20/x
  3. Step 3: Cross multiply
    648.72x = 895.20 × 400.20
  4. Step 4: Simplify right side
    648.72x = 358,259.04
  5. Step 5: Solve for x
    x = 358,259.04/648.72
  6. Step 6: Final answer
    x = 552.26

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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.