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Finding the Fourth Proportional to 649.99, 897.59 and 417.52

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Solution

The fourth proportional to 649.99, 897.59 and 417.52 is: 576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.99 : 897.59 = 417.52 : x
  2. Step 2: Convert to fraction form
    649.99/897.59 = 417.52/x
  3. Step 3: Cross multiply
    649.99x = 897.59 × 417.52
  4. Step 4: Simplify right side
    649.99x = 374,755.20
  5. Step 5: Solve for x
    x = 374,755.20/649.99
  6. Step 6: Final answer
    x = 576.56

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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.