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Finding the Fourth Proportional to 675.60, 932.40 and 413.55

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Solution

The fourth proportional to 675.60, 932.40 and 413.55 is: 570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.60 : 932.40 = 413.55 : x
  2. Step 2: Convert to fraction form
    675.60/932.40 = 413.55/x
  3. Step 3: Cross multiply
    675.60x = 932.40 × 413.55
  4. Step 4: Simplify right side
    675.60x = 385,594.02
  5. Step 5: Solve for x
    x = 385,594.02/675.60
  6. Step 6: Final answer
    x = 570.74

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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.