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Finding the Fourth Proportional to 305.27, 457.36 and 264.50

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Solution

The fourth proportional to 305.27, 457.36 and 264.50 is: 396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.27 : 457.36 = 264.50 : x
  2. Step 2: Convert to fraction form
    305.27/457.36 = 264.50/x
  3. Step 3: Cross multiply
    305.27x = 457.36 × 264.50
  4. Step 4: Simplify right side
    305.27x = 120,970.40
  5. Step 5: Solve for x
    x = 120,970.40/305.27
  6. Step 6: Final answer
    x = 396.27

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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.