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Finding the Fourth Proportional to 675.12, 931.66 and 380.40

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Solution

The fourth proportional to 675.12, 931.66 and 380.40 is: 524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.12 : 931.66 = 380.40 : x
  2. Step 2: Convert to fraction form
    675.12/931.66 = 380.40/x
  3. Step 3: Cross multiply
    675.12x = 931.66 × 380.40
  4. Step 4: Simplify right side
    675.12x = 354,403.46
  5. Step 5: Solve for x
    x = 354,403.46/675.12
  6. Step 6: Final answer
    x = 524.95

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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.