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Finding the Fourth Proportional to 491.34, 677.83 and 314.36

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Solution

The fourth proportional to 491.34, 677.83 and 314.36 is: 433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.34 : 677.83 = 314.36 : x
  2. Step 2: Convert to fraction form
    491.34/677.83 = 314.36/x
  3. Step 3: Cross multiply
    491.34x = 677.83 × 314.36
  4. Step 4: Simplify right side
    491.34x = 213,082.64
  5. Step 5: Solve for x
    x = 213,082.64/491.34
  6. Step 6: Final answer
    x = 433.68

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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.