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Finding the Fourth Proportional to 405.24, 558.66 and 306.48

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Solution

The fourth proportional to 405.24, 558.66 and 306.48 is: 422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.24 : 558.66 = 306.48 : x
  2. Step 2: Convert to fraction form
    405.24/558.66 = 306.48/x
  3. Step 3: Cross multiply
    405.24x = 558.66 × 306.48
  4. Step 4: Simplify right side
    405.24x = 171,218.12
  5. Step 5: Solve for x
    x = 171,218.12/405.24
  6. Step 6: Final answer
    x = 422.51

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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.