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Finding the Fourth Proportional to 691.05, 953.65 and 376.31

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Solution

The fourth proportional to 691.05, 953.65 and 376.31 is: 519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.05 : 953.65 = 376.31 : x
  2. Step 2: Convert to fraction form
    691.05/953.65 = 376.31/x
  3. Step 3: Cross multiply
    691.05x = 953.65 × 376.31
  4. Step 4: Simplify right side
    691.05x = 358,867.09
  5. Step 5: Solve for x
    x = 358,867.09/691.05
  6. Step 6: Final answer
    x = 519.31

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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.