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Finding the Fourth Proportional to 650.02, 897.33 and 417.28

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Solution

The fourth proportional to 650.02, 897.33 and 417.28 is: 576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.02 : 897.33 = 417.28 : x
  2. Step 2: Convert to fraction form
    650.02/897.33 = 417.28/x
  3. Step 3: Cross multiply
    650.02x = 897.33 × 417.28
  4. Step 4: Simplify right side
    650.02x = 374,437.86
  5. Step 5: Solve for x
    x = 374,437.86/650.02
  6. Step 6: Final answer
    x = 576.04

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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.