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Finding the Fourth Proportional to 649.87, 897.41 and 417.40

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Solution

The fourth proportional to 649.87, 897.41 and 417.40 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.87 : 897.41 = 417.40 : x
  2. Step 2: Convert to fraction form
    649.87/897.41 = 417.40/x
  3. Step 3: Cross multiply
    649.87x = 897.41 × 417.40
  4. Step 4: Simplify right side
    649.87x = 374,575.49
  5. Step 5: Solve for x
    x = 374,575.49/649.87
  6. Step 6: Final answer
    x = 576.39

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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.