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Finding the Fourth Proportional to 405.36, 558.86 and 293.23

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Solution

The fourth proportional to 405.36, 558.86 and 293.23 is: 404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 558.86 = 293.23 : x
  2. Step 2: Convert to fraction form
    405.36/558.86 = 293.23/x
  3. Step 3: Cross multiply
    405.36x = 558.86 × 293.23
  4. Step 4: Simplify right side
    405.36x = 163,874.52
  5. Step 5: Solve for x
    x = 163,874.52/405.36
  6. Step 6: Final answer
    x = 404.27

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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.