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Finding the Fourth Proportional to 582.29, 798.31 and 571.92

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Solution

The fourth proportional to 582.29, 798.31 and 571.92 is: 784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.29 : 798.31 = 571.92 : x
  2. Step 2: Convert to fraction form
    582.29/798.31 = 571.92/x
  3. Step 3: Cross multiply
    582.29x = 798.31 × 571.92
  4. Step 4: Simplify right side
    582.29x = 456,573.19
  5. Step 5: Solve for x
    x = 456,573.19/582.29
  6. Step 6: Final answer
    x = 784.10

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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.