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Finding the Fourth Proportional to 413.02, 619.50 and 276.14

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Solution

The fourth proportional to 413.02, 619.50 and 276.14 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.02 : 619.50 = 276.14 : x
  2. Step 2: Convert to fraction form
    413.02/619.50 = 276.14/x
  3. Step 3: Cross multiply
    413.02x = 619.50 × 276.14
  4. Step 4: Simplify right side
    413.02x = 171,068.73
  5. Step 5: Solve for x
    x = 171,068.73/413.02
  6. Step 6: Final answer
    x = 414.19

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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.