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Finding the Fourth Proportional to 465.52, 698.38 and 400.11

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Solution

The fourth proportional to 465.52, 698.38 and 400.11 is: 600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.52 : 698.38 = 400.11 : x
  2. Step 2: Convert to fraction form
    465.52/698.38 = 400.11/x
  3. Step 3: Cross multiply
    465.52x = 698.38 × 400.11
  4. Step 4: Simplify right side
    465.52x = 279,430.57
  5. Step 5: Solve for x
    x = 279,430.57/465.52
  6. Step 6: Final answer
    x = 600.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.