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Finding the Fourth Proportional to 691.36, 954.12 and 380.86

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Solution

The fourth proportional to 691.36, 954.12 and 380.86 is: 525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.36 : 954.12 = 380.86 : x
  2. Step 2: Convert to fraction form
    691.36/954.12 = 380.86/x
  3. Step 3: Cross multiply
    691.36x = 954.12 × 380.86
  4. Step 4: Simplify right side
    691.36x = 363,386.14
  5. Step 5: Solve for x
    x = 363,386.14/691.36
  6. Step 6: Final answer
    x = 525.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.