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Finding the Fourth Proportional to 585.58, 879.18 and 297.22

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Solution

The fourth proportional to 585.58, 879.18 and 297.22 is: 446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.58 : 879.18 = 297.22 : x
  2. Step 2: Convert to fraction form
    585.58/879.18 = 297.22/x
  3. Step 3: Cross multiply
    585.58x = 879.18 × 297.22
  4. Step 4: Simplify right side
    585.58x = 261,309.88
  5. Step 5: Solve for x
    x = 261,309.88/585.58
  6. Step 6: Final answer
    x = 446.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.