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Finding the Fourth Proportional to 649.10, 895.75 and 354.38

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Solution

The fourth proportional to 649.10, 895.75 and 354.38 is: 489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.10 : 895.75 = 354.38 : x
  2. Step 2: Convert to fraction form
    649.10/895.75 = 354.38/x
  3. Step 3: Cross multiply
    649.10x = 895.75 × 354.38
  4. Step 4: Simplify right side
    649.10x = 317,430.52
  5. Step 5: Solve for x
    x = 317,430.52/649.10
  6. Step 6: Final answer
    x = 489.03

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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.