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Finding the Fourth Proportional to 583.42, 874.90 and 218.01

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Solution

The fourth proportional to 583.42, 874.90 and 218.01 is: 326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 874.90 = 218.01 : x
  2. Step 2: Convert to fraction form
    583.42/874.90 = 218.01/x
  3. Step 3: Cross multiply
    583.42x = 874.90 × 218.01
  4. Step 4: Simplify right side
    583.42x = 190,735.58
  5. Step 5: Solve for x
    x = 190,735.58/583.42
  6. Step 6: Final answer
    x = 326.93

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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.