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Finding the Fourth Proportional to 895.74, 1,343.35 and 310.65

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Solution

The fourth proportional to 895.74, 1,343.35 and 310.65 is: 465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.74 : 1,343.35 = 310.65 : x
  2. Step 2: Convert to fraction form
    895.74/1,343.35 = 310.65/x
  3. Step 3: Cross multiply
    895.74x = 1,343.35 × 310.65
  4. Step 4: Simplify right side
    895.74x = 417,311.68
  5. Step 5: Solve for x
    x = 417,311.68/895.74
  6. Step 6: Final answer
    x = 465.88

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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.