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Finding the Fourth Proportional to 592.06, 816.89 and 370.83

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Solution

The fourth proportional to 592.06, 816.89 and 370.83 is: 511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.06 : 816.89 = 370.83 : x
  2. Step 2: Convert to fraction form
    592.06/816.89 = 370.83/x
  3. Step 3: Cross multiply
    592.06x = 816.89 × 370.83
  4. Step 4: Simplify right side
    592.06x = 302,923.93
  5. Step 5: Solve for x
    x = 302,923.93/592.06
  6. Step 6: Final answer
    x = 511.64

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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.