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Finding the Fourth Proportional to 650.08, 896.67 and 417.10

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Solution

The fourth proportional to 650.08, 896.67 and 417.10 is: 575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.08 : 896.67 = 417.10 : x
  2. Step 2: Convert to fraction form
    650.08/896.67 = 417.10/x
  3. Step 3: Cross multiply
    650.08x = 896.67 × 417.10
  4. Step 4: Simplify right side
    650.08x = 374,001.06
  5. Step 5: Solve for x
    x = 374,001.06/650.08
  6. Step 6: Final answer
    x = 575.32

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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.