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Finding the Fourth Proportional to 583.53, 875.10 and 213.24

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Solution

The fourth proportional to 583.53, 875.10 and 213.24 is: 319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.53 : 875.10 = 213.24 : x
  2. Step 2: Convert to fraction form
    583.53/875.10 = 213.24/x
  3. Step 3: Cross multiply
    583.53x = 875.10 × 213.24
  4. Step 4: Simplify right side
    583.53x = 186,606.32
  5. Step 5: Solve for x
    x = 186,606.32/583.53
  6. Step 6: Final answer
    x = 319.79

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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.