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Finding the Fourth Proportional to 675.14, 931.74 and 380.40

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Solution

The fourth proportional to 675.14, 931.74 and 380.40 is: 524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.14 : 931.74 = 380.40 : x
  2. Step 2: Convert to fraction form
    675.14/931.74 = 380.40/x
  3. Step 3: Cross multiply
    675.14x = 931.74 × 380.40
  4. Step 4: Simplify right side
    675.14x = 354,433.90
  5. Step 5: Solve for x
    x = 354,433.90/675.14
  6. Step 6: Final answer
    x = 524.98

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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.