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Finding the Fourth Proportional to 305.42, 420.92 and 270.02

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Solution

The fourth proportional to 305.42, 420.92 and 270.02 is: 372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 420.92 = 270.02 : x
  2. Step 2: Convert to fraction form
    305.42/420.92 = 270.02/x
  3. Step 3: Cross multiply
    305.42x = 420.92 × 270.02
  4. Step 4: Simplify right side
    305.42x = 113,656.82
  5. Step 5: Solve for x
    x = 113,656.82/305.42
  6. Step 6: Final answer
    x = 372.13

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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.