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Finding the Fourth Proportional to 675.32, 931.83 and 380.53

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Solution

The fourth proportional to 675.32, 931.83 and 380.53 is: 525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.32 : 931.83 = 380.53 : x
  2. Step 2: Convert to fraction form
    675.32/931.83 = 380.53/x
  3. Step 3: Cross multiply
    675.32x = 931.83 × 380.53
  4. Step 4: Simplify right side
    675.32x = 354,589.27
  5. Step 5: Solve for x
    x = 354,589.27/675.32
  6. Step 6: Final answer
    x = 525.07

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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.