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Finding the Fourth Proportional to 894.99, 1,342 and 270.20

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Solution

The fourth proportional to 894.99, 1,342 and 270.20 is: 405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.99 : 1,342 = 270.20 : x
  2. Step 2: Convert to fraction form
    894.99/1,342 = 270.20/x
  3. Step 3: Cross multiply
    894.99x = 1,342 × 270.20
  4. Step 4: Simplify right side
    894.99x = 362,601.69
  5. Step 5: Solve for x
    x = 362,601.69/894.99
  6. Step 6: Final answer
    x = 405.15

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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.