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Finding the Fourth Proportional to 675.40, 931.58 and 413.22

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Solution

The fourth proportional to 675.40, 931.58 and 413.22 is: 569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.40 : 931.58 = 413.22 : x
  2. Step 2: Convert to fraction form
    675.40/931.58 = 413.22/x
  3. Step 3: Cross multiply
    675.40x = 931.58 × 413.22
  4. Step 4: Simplify right side
    675.40x = 384,947.49
  5. Step 5: Solve for x
    x = 384,947.49/675.40
  6. Step 6: Final answer
    x = 569.95

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Why These Related Problems?

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