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Finding the Fourth Proportional to 649.09, 895.76 and 400.40

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Solution

The fourth proportional to 649.09, 895.76 and 400.40 is: 552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.09 : 895.76 = 400.40 : x
  2. Step 2: Convert to fraction form
    649.09/895.76 = 400.40/x
  3. Step 3: Cross multiply
    649.09x = 895.76 × 400.40
  4. Step 4: Simplify right side
    649.09x = 358,660.68
  5. Step 5: Solve for x
    x = 358,660.68/649.09
  6. Step 6: Final answer
    x = 552.56

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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.