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Finding the Fourth Proportional to 691.41, 954.14 and 380.91

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Solution

The fourth proportional to 691.41, 954.14 and 380.91 is: 525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.41 : 954.14 = 380.91 : x
  2. Step 2: Convert to fraction form
    691.41/954.14 = 380.91/x
  3. Step 3: Cross multiply
    691.41x = 954.14 × 380.91
  4. Step 4: Simplify right side
    691.41x = 363,438.84
  5. Step 5: Solve for x
    x = 363,438.84/691.41
  6. Step 6: Final answer
    x = 525.65

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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.