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Finding the Fourth Proportional to 895.68, 1,343.58 and 318.42

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Solution

The fourth proportional to 895.68, 1,343.58 and 318.42 is: 477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.68 : 1,343.58 = 318.42 : x
  2. Step 2: Convert to fraction form
    895.68/1,343.58 = 318.42/x
  3. Step 3: Cross multiply
    895.68x = 1,343.58 × 318.42
  4. Step 4: Simplify right side
    895.68x = 427,822.74
  5. Step 5: Solve for x
    x = 427,822.74/895.68
  6. Step 6: Final answer
    x = 477.65

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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.