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Finding the Fourth Proportional to 650.16, 897.51 and 417.42

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Solution

The fourth proportional to 650.16, 897.51 and 417.42 is: 576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 897.51 = 417.42 : x
  2. Step 2: Convert to fraction form
    650.16/897.51 = 417.42/x
  3. Step 3: Cross multiply
    650.16x = 897.51 × 417.42
  4. Step 4: Simplify right side
    650.16x = 374,638.62
  5. Step 5: Solve for x
    x = 374,638.62/650.16
  6. Step 6: Final answer
    x = 576.23

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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.