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Finding the Fourth Proportional to 649.04, 895.86 and 397.06

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Solution

The fourth proportional to 649.04, 895.86 and 397.06 is: 548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.04 : 895.86 = 397.06 : x
  2. Step 2: Convert to fraction form
    649.04/895.86 = 397.06/x
  3. Step 3: Cross multiply
    649.04x = 895.86 × 397.06
  4. Step 4: Simplify right side
    649.04x = 355,707.93
  5. Step 5: Solve for x
    x = 355,707.93/649.04
  6. Step 6: Final answer
    x = 548.06

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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.