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Finding the Fourth Proportional to 583.64, 874.11 and 352.02

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Solution

The fourth proportional to 583.64, 874.11 and 352.02 is: 527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.64 : 874.11 = 352.02 : x
  2. Step 2: Convert to fraction form
    583.64/874.11 = 352.02/x
  3. Step 3: Cross multiply
    583.64x = 874.11 × 352.02
  4. Step 4: Simplify right side
    583.64x = 307,704.20
  5. Step 5: Solve for x
    x = 307,704.20/583.64
  6. Step 6: Final answer
    x = 527.22

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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.