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Finding the Fourth Proportional to 675.38, 932.02 and 413.34

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Solution

The fourth proportional to 675.38, 932.02 and 413.34 is: 570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.38 : 932.02 = 413.34 : x
  2. Step 2: Convert to fraction form
    675.38/932.02 = 413.34/x
  3. Step 3: Cross multiply
    675.38x = 932.02 × 413.34
  4. Step 4: Simplify right side
    675.38x = 385,241.15
  5. Step 5: Solve for x
    x = 385,241.15/675.38
  6. Step 6: Final answer
    x = 570.41

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1.5x scale

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.