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Finding the Fourth Proportional to 467.46, 697.74 and 413.40

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Solution

The fourth proportional to 467.46, 697.74 and 413.40 is: 617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 697.74 = 413.40 : x
  2. Step 2: Convert to fraction form
    467.46/697.74 = 413.40/x
  3. Step 3: Cross multiply
    467.46x = 697.74 × 413.40
  4. Step 4: Simplify right side
    467.46x = 288,445.72
  5. Step 5: Solve for x
    x = 288,445.72/467.46
  6. Step 6: Final answer
    x = 617.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.