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Finding the Fourth Proportional to 592.01, 816.63 and 426.01

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Solution

The fourth proportional to 592.01, 816.63 and 426.01 is: 587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.01 : 816.63 = 426.01 : x
  2. Step 2: Convert to fraction form
    592.01/816.63 = 426.01/x
  3. Step 3: Cross multiply
    592.01x = 816.63 × 426.01
  4. Step 4: Simplify right side
    592.01x = 347,892.83
  5. Step 5: Solve for x
    x = 347,892.83/592.01
  6. Step 6: Final answer
    x = 587.65

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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.