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Finding the Fourth Proportional to 592.18, 816.86 and 426.16

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Solution

The fourth proportional to 592.18, 816.86 and 426.16 is: 587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.18 : 816.86 = 426.16 : x
  2. Step 2: Convert to fraction form
    592.18/816.86 = 426.16/x
  3. Step 3: Cross multiply
    592.18x = 816.86 × 426.16
  4. Step 4: Simplify right side
    592.18x = 348,110.93
  5. Step 5: Solve for x
    x = 348,110.93/592.18
  6. Step 6: Final answer
    x = 587.85

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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.