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Finding the Fourth Proportional to 305.24, 457.46 and 266

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Solution

The fourth proportional to 305.24, 457.46 and 266 is: 398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 457.46 = 266 : x
  2. Step 2: Convert to fraction form
    305.24/457.46 = 266/x
  3. Step 3: Cross multiply
    305.24x = 457.46 × 266
  4. Step 4: Simplify right side
    305.24x = 121,684.36
  5. Step 5: Solve for x
    x = 121,684.36/305.24
  6. Step 6: Final answer
    x = 398.65

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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.