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Finding the Fourth Proportional to 581.29, 797.97 and 575.82

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Solution

The fourth proportional to 581.29, 797.97 and 575.82 is: 790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.29 : 797.97 = 575.82 : x
  2. Step 2: Convert to fraction form
    581.29/797.97 = 575.82/x
  3. Step 3: Cross multiply
    581.29x = 797.97 × 575.82
  4. Step 4: Simplify right side
    581.29x = 459,489.24
  5. Step 5: Solve for x
    x = 459,489.24/581.29
  6. Step 6: Final answer
    x = 790.47

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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.