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Finding the Fourth Proportional to 305.00, 457.55 and 270.95

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Solution

The fourth proportional to 305.00, 457.55 and 270.95 is: 406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.00 : 457.55 = 270.95 : x
  2. Step 2: Convert to fraction form
    305.00/457.55 = 270.95/x
  3. Step 3: Cross multiply
    305.00x = 457.55 × 270.95
  4. Step 4: Simplify right side
    305.00x = 123,970.55
  5. Step 5: Solve for x
    x = 123,970.55/305.00
  6. Step 6: Final answer
    x = 406.46

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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.