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Finding the Fourth Proportional to 895.62, 1,343.78 and 348.19

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Solution

The fourth proportional to 895.62, 1,343.78 and 348.19 is: 522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.62 : 1,343.78 = 348.19 : x
  2. Step 2: Convert to fraction form
    895.62/1,343.78 = 348.19/x
  3. Step 3: Cross multiply
    895.62x = 1,343.78 × 348.19
  4. Step 4: Simplify right side
    895.62x = 467,885.66
  5. Step 5: Solve for x
    x = 467,885.66/895.62
  6. Step 6: Final answer
    x = 522.42

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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.