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Finding the Fourth Proportional to 583.68, 875.62 and 218.40

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Solution

The fourth proportional to 583.68, 875.62 and 218.40 is: 327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.68 : 875.62 = 218.40 : x
  2. Step 2: Convert to fraction form
    583.68/875.62 = 218.40/x
  3. Step 3: Cross multiply
    583.68x = 875.62 × 218.40
  4. Step 4: Simplify right side
    583.68x = 191,235.41
  5. Step 5: Solve for x
    x = 191,235.41/583.68
  6. Step 6: Final answer
    x = 327.64

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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.