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Finding the Fourth Proportional to 649.92, 897.28 and 606.40

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Solution

The fourth proportional to 649.92, 897.28 and 606.40 is: 837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 897.28 = 606.40 : x
  2. Step 2: Convert to fraction form
    649.92/897.28 = 606.40/x
  3. Step 3: Cross multiply
    649.92x = 897.28 × 606.40
  4. Step 4: Simplify right side
    649.92x = 544,110.59
  5. Step 5: Solve for x
    x = 544,110.59/649.92
  6. Step 6: Final answer
    x = 837.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.