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Finding the Fourth Proportional to 582.04, 799.01 and 576.57

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Solution

The fourth proportional to 582.04, 799.01 and 576.57 is: 791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.04 : 799.01 = 576.57 : x
  2. Step 2: Convert to fraction form
    582.04/799.01 = 576.57/x
  3. Step 3: Cross multiply
    582.04x = 799.01 × 576.57
  4. Step 4: Simplify right side
    582.04x = 460,682.31
  5. Step 5: Solve for x
    x = 460,682.31/582.04
  6. Step 6: Final answer
    x = 791.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.