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Finding the Fourth Proportional to 304.77, 420.21 and 252.53

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Solution

The fourth proportional to 304.77, 420.21 and 252.53 is: 348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.77 : 420.21 = 252.53 : x
  2. Step 2: Convert to fraction form
    304.77/420.21 = 252.53/x
  3. Step 3: Cross multiply
    304.77x = 420.21 × 252.53
  4. Step 4: Simplify right side
    304.77x = 106,115.63
  5. Step 5: Solve for x
    x = 106,115.63/304.77
  6. Step 6: Final answer
    x = 348.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.