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Finding the Fourth Proportional to 675.50, 931.37 and 413.46

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Solution

The fourth proportional to 675.50, 931.37 and 413.46 is: 570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 931.37 = 413.46 : x
  2. Step 2: Convert to fraction form
    675.50/931.37 = 413.46/x
  3. Step 3: Cross multiply
    675.50x = 931.37 × 413.46
  4. Step 4: Simplify right side
    675.50x = 385,082.17
  5. Step 5: Solve for x
    x = 385,082.17/675.50
  6. Step 6: Final answer
    x = 570.07

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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.