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Finding the Fourth Proportional to 305.02, 420.52 and 252.37

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Solution

The fourth proportional to 305.02, 420.52 and 252.37 is: 347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.02 : 420.52 = 252.37 : x
  2. Step 2: Convert to fraction form
    305.02/420.52 = 252.37/x
  3. Step 3: Cross multiply
    305.02x = 420.52 × 252.37
  4. Step 4: Simplify right side
    305.02x = 106,126.63
  5. Step 5: Solve for x
    x = 106,126.63/305.02
  6. Step 6: Final answer
    x = 347.93

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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.