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Finding the Fourth Proportional to 575.22, 862.48 and 258.55

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Solution

The fourth proportional to 575.22, 862.48 and 258.55 is: 387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.22 : 862.48 = 258.55 : x
  2. Step 2: Convert to fraction form
    575.22/862.48 = 258.55/x
  3. Step 3: Cross multiply
    575.22x = 862.48 × 258.55
  4. Step 4: Simplify right side
    575.22x = 222,994.20
  5. Step 5: Solve for x
    x = 222,994.20/575.22
  6. Step 6: Final answer
    x = 387.67

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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.