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Finding the Fourth Proportional to 583.24, 798.45 and 579.20

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Solution

The fourth proportional to 583.24, 798.45 and 579.20 is: 792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.24 : 798.45 = 579.20 : x
  2. Step 2: Convert to fraction form
    583.24/798.45 = 579.20/x
  3. Step 3: Cross multiply
    583.24x = 798.45 × 579.20
  4. Step 4: Simplify right side
    583.24x = 462,462.24
  5. Step 5: Solve for x
    x = 462,462.24/583.24
  6. Step 6: Final answer
    x = 792.92

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