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Finding the Fourth Proportional to 674.85, 931.25 and 380.12

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Solution

The fourth proportional to 674.85, 931.25 and 380.12 is: 524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.85 : 931.25 = 380.12 : x
  2. Step 2: Convert to fraction form
    674.85/931.25 = 380.12/x
  3. Step 3: Cross multiply
    674.85x = 931.25 × 380.12
  4. Step 4: Simplify right side
    674.85x = 353,980.19
  5. Step 5: Solve for x
    x = 353,980.19/674.85
  6. Step 6: Final answer
    x = 524.53

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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.