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Finding the Fourth Proportional to 592.12, 817.21 and 426.88

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Solution

The fourth proportional to 592.12, 817.21 and 426.88 is: 589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 817.21 = 426.88 : x
  2. Step 2: Convert to fraction form
    592.12/817.21 = 426.88/x
  3. Step 3: Cross multiply
    592.12x = 817.21 × 426.88
  4. Step 4: Simplify right side
    592.12x = 348,852.16
  5. Step 5: Solve for x
    x = 348,852.16/592.12
  6. Step 6: Final answer
    x = 589.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.