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Finding the Fourth Proportional to 675.42, 932.07 and 380.69

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Solution

The fourth proportional to 675.42, 932.07 and 380.69 is: 525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 932.07 = 380.69 : x
  2. Step 2: Convert to fraction form
    675.42/932.07 = 380.69/x
  3. Step 3: Cross multiply
    675.42x = 932.07 × 380.69
  4. Step 4: Simplify right side
    675.42x = 354,825.07
  5. Step 5: Solve for x
    x = 354,825.07/675.42
  6. Step 6: Final answer
    x = 525.34

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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.