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Finding the Fourth Proportional to 895.47, 1,342.66 and 310.17

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Solution

The fourth proportional to 895.47, 1,342.66 and 310.17 is: 465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.47 : 1,342.66 = 310.17 : x
  2. Step 2: Convert to fraction form
    895.47/1,342.66 = 310.17/x
  3. Step 3: Cross multiply
    895.47x = 1,342.66 × 310.17
  4. Step 4: Simplify right side
    895.47x = 416,452.85
  5. Step 5: Solve for x
    x = 416,452.85/895.47
  6. Step 6: Final answer
    x = 465.07

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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.