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Finding the Fourth Proportional to 895.65, 1,342.89 and 347.38

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Solution

The fourth proportional to 895.65, 1,342.89 and 347.38 is: 520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.65 : 1,342.89 = 347.38 : x
  2. Step 2: Convert to fraction form
    895.65/1,342.89 = 347.38/x
  3. Step 3: Cross multiply
    895.65x = 1,342.89 × 347.38
  4. Step 4: Simplify right side
    895.65x = 466,493.13
  5. Step 5: Solve for x
    x = 466,493.13/895.65
  6. Step 6: Final answer
    x = 520.84

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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.