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Finding the Fourth Proportional to 649.77, 896.45 and 417.03

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Solution

The fourth proportional to 649.77, 896.45 and 417.03 is: 575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.77 : 896.45 = 417.03 : x
  2. Step 2: Convert to fraction form
    649.77/896.45 = 417.03/x
  3. Step 3: Cross multiply
    649.77x = 896.45 × 417.03
  4. Step 4: Simplify right side
    649.77x = 373,844.46
  5. Step 5: Solve for x
    x = 373,844.46/649.77
  6. Step 6: Final answer
    x = 575.35

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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.