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Finding the Fourth Proportional to 465.10, 695.95 and 400.84

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Solution

The fourth proportional to 465.10, 695.95 and 400.84 is: 599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.10 : 695.95 = 400.84 : x
  2. Step 2: Convert to fraction form
    465.10/695.95 = 400.84/x
  3. Step 3: Cross multiply
    465.10x = 695.95 × 400.84
  4. Step 4: Simplify right side
    465.10x = 278,961.86
  5. Step 5: Solve for x
    x = 278,961.86/465.10
  6. Step 6: Final answer
    x = 599.79

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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.