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Finding the Fourth Proportional to 305.00, 457.29 and 247.29

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Solution

The fourth proportional to 305.00, 457.29 and 247.29 is: 370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.00 : 457.29 = 247.29 : x
  2. Step 2: Convert to fraction form
    305.00/457.29 = 247.29/x
  3. Step 3: Cross multiply
    305.00x = 457.29 × 247.29
  4. Step 4: Simplify right side
    305.00x = 113,083.24
  5. Step 5: Solve for x
    x = 113,083.24/305.00
  6. Step 6: Final answer
    x = 370.77

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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.