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Finding the Fourth Proportional to 691.58, 954.05 and 396.77

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Solution

The fourth proportional to 691.58, 954.05 and 396.77 is: 547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.58 : 954.05 = 396.77 : x
  2. Step 2: Convert to fraction form
    691.58/954.05 = 396.77/x
  3. Step 3: Cross multiply
    691.58x = 954.05 × 396.77
  4. Step 4: Simplify right side
    691.58x = 378,536.43
  5. Step 5: Solve for x
    x = 378,536.43/691.58
  6. Step 6: Final answer
    x = 547.35

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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.