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Finding the Fourth Proportional to 895.18, 1,341.96 and 317.92

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Solution

The fourth proportional to 895.18, 1,341.96 and 317.92 is: 476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.18 : 1,341.96 = 317.92 : x
  2. Step 2: Convert to fraction form
    895.18/1,341.96 = 317.92/x
  3. Step 3: Cross multiply
    895.18x = 1,341.96 × 317.92
  4. Step 4: Simplify right side
    895.18x = 426,634.49
  5. Step 5: Solve for x
    x = 426,634.49/895.18
  6. Step 6: Final answer
    x = 476.59

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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.