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Finding the Fourth Proportional to 478.46, 717.08 and 413.45

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Solution

The fourth proportional to 478.46, 717.08 and 413.45 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.46 : 717.08 = 413.45 : x
  2. Step 2: Convert to fraction form
    478.46/717.08 = 413.45/x
  3. Step 3: Cross multiply
    478.46x = 717.08 × 413.45
  4. Step 4: Simplify right side
    478.46x = 296,478.96
  5. Step 5: Solve for x
    x = 296,478.96/478.46
  6. Step 6: Final answer
    x = 619.66

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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.