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Finding the Fourth Proportional to 426.62, 588.75 and 407.18

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Solution

The fourth proportional to 426.62, 588.75 and 407.18 is: 561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.62 : 588.75 = 407.18 : x
  2. Step 2: Convert to fraction form
    426.62/588.75 = 407.18/x
  3. Step 3: Cross multiply
    426.62x = 588.75 × 407.18
  4. Step 4: Simplify right side
    426.62x = 239,727.23
  5. Step 5: Solve for x
    x = 239,727.23/426.62
  6. Step 6: Final answer
    x = 561.92

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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.