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Finding the Fourth Proportional to 895.45, 1,342.40 and 348.01

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Solution

The fourth proportional to 895.45, 1,342.40 and 348.01 is: 521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.45 : 1,342.40 = 348.01 : x
  2. Step 2: Convert to fraction form
    895.45/1,342.40 = 348.01/x
  3. Step 3: Cross multiply
    895.45x = 1,342.40 × 348.01
  4. Step 4: Simplify right side
    895.45x = 467,168.62
  5. Step 5: Solve for x
    x = 467,168.62/895.45
  6. Step 6: Final answer
    x = 521.71

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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.