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Finding the Fourth Proportional to 426.12, 584.59 and 405.46

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Solution

The fourth proportional to 426.12, 584.59 and 405.46 is: 556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.12 : 584.59 = 405.46 : x
  2. Step 2: Convert to fraction form
    426.12/584.59 = 405.46/x
  3. Step 3: Cross multiply
    426.12x = 584.59 × 405.46
  4. Step 4: Simplify right side
    426.12x = 237,027.86
  5. Step 5: Solve for x
    x = 237,027.86/426.12
  6. Step 6: Final answer
    x = 556.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.