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Finding the Fourth Proportional to 583.56, 874.08 and 538.20

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Solution

The fourth proportional to 583.56, 874.08 and 538.20 is: 806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.56 : 874.08 = 538.20 : x
  2. Step 2: Convert to fraction form
    583.56/874.08 = 538.20/x
  3. Step 3: Cross multiply
    583.56x = 874.08 × 538.20
  4. Step 4: Simplify right side
    583.56x = 470,429.86
  5. Step 5: Solve for x
    x = 470,429.86/583.56
  6. Step 6: Final answer
    x = 806.14

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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.