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Finding the Fourth Proportional to 873.35, 1,310.66 and 346.34

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Solution

The fourth proportional to 873.35, 1,310.66 and 346.34 is: 519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.35 : 1,310.66 = 346.34 : x
  2. Step 2: Convert to fraction form
    873.35/1,310.66 = 346.34/x
  3. Step 3: Cross multiply
    873.35x = 1,310.66 × 346.34
  4. Step 4: Simplify right side
    873.35x = 453,933.98
  5. Step 5: Solve for x
    x = 453,933.98/873.35
  6. Step 6: Final answer
    x = 519.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.