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Finding the Fourth Proportional to 583.77, 875.56 and 213.50

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Solution

The fourth proportional to 583.77, 875.56 and 213.50 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.77 : 875.56 = 213.50 : x
  2. Step 2: Convert to fraction form
    583.77/875.56 = 213.50/x
  3. Step 3: Cross multiply
    583.77x = 875.56 × 213.50
  4. Step 4: Simplify right side
    583.77x = 186,930.99
  5. Step 5: Solve for x
    x = 186,930.99/583.77
  6. Step 6: Final answer
    x = 320.21

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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.