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Finding the Fourth Proportional to 596.44, 895.02 and 340.12

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Solution

The fourth proportional to 596.44, 895.02 and 340.12 is: 510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.44 : 895.02 = 340.12 : x
  2. Step 2: Convert to fraction form
    596.44/895.02 = 340.12/x
  3. Step 3: Cross multiply
    596.44x = 895.02 × 340.12
  4. Step 4: Simplify right side
    596.44x = 304,414.20
  5. Step 5: Solve for x
    x = 304,414.20/596.44
  6. Step 6: Final answer
    x = 510.39

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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.