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Finding the Fourth Proportional to 463.96, 695.12 and 413.74

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Solution

The fourth proportional to 463.96, 695.12 and 413.74 is: 619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.96 : 695.12 = 413.74 : x
  2. Step 2: Convert to fraction form
    463.96/695.12 = 413.74/x
  3. Step 3: Cross multiply
    463.96x = 695.12 × 413.74
  4. Step 4: Simplify right side
    463.96x = 287,598.95
  5. Step 5: Solve for x
    x = 287,598.95/463.96
  6. Step 6: Final answer
    x = 619.88

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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.