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Finding the Fourth Proportional to 895.08, 1,342.46 and 318.12

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Solution

The fourth proportional to 895.08, 1,342.46 and 318.12 is: 477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.08 : 1,342.46 = 318.12 : x
  2. Step 2: Convert to fraction form
    895.08/1,342.46 = 318.12/x
  3. Step 3: Cross multiply
    895.08x = 1,342.46 × 318.12
  4. Step 4: Simplify right side
    895.08x = 427,063.38
  5. Step 5: Solve for x
    x = 427,063.38/895.08
  6. Step 6: Final answer
    x = 477.12

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Why These Related Problems?

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