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Finding the Fourth Proportional to 645.88, 891.31 and 413.14

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Solution

The fourth proportional to 645.88, 891.31 and 413.14 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.88 : 891.31 = 413.14 : x
  2. Step 2: Convert to fraction form
    645.88/891.31 = 413.14/x
  3. Step 3: Cross multiply
    645.88x = 891.31 × 413.14
  4. Step 4: Simplify right side
    645.88x = 368,235.81
  5. Step 5: Solve for x
    x = 368,235.81/645.88
  6. Step 6: Final answer
    x = 570.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.