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Finding the Fourth Proportional to 305.24, 421.02 and 258.92

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Solution

The fourth proportional to 305.24, 421.02 and 258.92 is: 357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 421.02 = 258.92 : x
  2. Step 2: Convert to fraction form
    305.24/421.02 = 258.92/x
  3. Step 3: Cross multiply
    305.24x = 421.02 × 258.92
  4. Step 4: Simplify right side
    305.24x = 109,010.50
  5. Step 5: Solve for x
    x = 109,010.50/305.24
  6. Step 6: Final answer
    x = 357.13

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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.