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Finding the Fourth Proportional to 581.75, 871.46 and 350.51

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Solution

The fourth proportional to 581.75, 871.46 and 350.51 is: 525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.75 : 871.46 = 350.51 : x
  2. Step 2: Convert to fraction form
    581.75/871.46 = 350.51/x
  3. Step 3: Cross multiply
    581.75x = 871.46 × 350.51
  4. Step 4: Simplify right side
    581.75x = 305,455.55
  5. Step 5: Solve for x
    x = 305,455.55/581.75
  6. Step 6: Final answer
    x = 525.06

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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.