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Finding the Fourth Proportional to 895.46, 1,342.87 and 310.31

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Solution

The fourth proportional to 895.46, 1,342.87 and 310.31 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.46 : 1,342.87 = 310.31 : x
  2. Step 2: Convert to fraction form
    895.46/1,342.87 = 310.31/x
  3. Step 3: Cross multiply
    895.46x = 1,342.87 × 310.31
  4. Step 4: Simplify right side
    895.46x = 416,699.28
  5. Step 5: Solve for x
    x = 416,699.28/895.46
  6. Step 6: Final answer
    x = 465.35

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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.