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Finding the Fourth Proportional to 648.91, 895.56 and 400.24

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Solution

The fourth proportional to 648.91, 895.56 and 400.24 is: 552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.91 : 895.56 = 400.24 : x
  2. Step 2: Convert to fraction form
    648.91/895.56 = 400.24/x
  3. Step 3: Cross multiply
    648.91x = 895.56 × 400.24
  4. Step 4: Simplify right side
    648.91x = 358,434.46
  5. Step 5: Solve for x
    x = 358,434.46/648.91
  6. Step 6: Final answer
    x = 552.37

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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.