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Finding the Fourth Proportional to 305.24, 457.30 and 213.76

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Solution

The fourth proportional to 305.24, 457.30 and 213.76 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 457.30 = 213.76 : x
  2. Step 2: Convert to fraction form
    305.24/457.30 = 213.76/x
  3. Step 3: Cross multiply
    305.24x = 457.30 × 213.76
  4. Step 4: Simplify right side
    305.24x = 97,752.45
  5. Step 5: Solve for x
    x = 97,752.45/305.24
  6. Step 6: Final answer
    x = 320.25

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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.