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Finding the Fourth Proportional to 648.64, 895.16 and 400.12

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Solution

The fourth proportional to 648.64, 895.16 and 400.12 is: 552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.64 : 895.16 = 400.12 : x
  2. Step 2: Convert to fraction form
    648.64/895.16 = 400.12/x
  3. Step 3: Cross multiply
    648.64x = 895.16 × 400.12
  4. Step 4: Simplify right side
    648.64x = 358,171.42
  5. Step 5: Solve for x
    x = 358,171.42/648.64
  6. Step 6: Final answer
    x = 552.19

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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.