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Finding the Fourth Proportional to 413.46, 619.38 and 410.76

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Solution

The fourth proportional to 413.46, 619.38 and 410.76 is: 615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.46 : 619.38 = 410.76 : x
  2. Step 2: Convert to fraction form
    413.46/619.38 = 410.76/x
  3. Step 3: Cross multiply
    413.46x = 619.38 × 410.76
  4. Step 4: Simplify right side
    413.46x = 254,416.53
  5. Step 5: Solve for x
    x = 254,416.53/413.46
  6. Step 6: Final answer
    x = 615.34

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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.