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Finding the Fourth Proportional to 527.22, 790.89 and 202.53

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Solution

The fourth proportional to 527.22, 790.89 and 202.53 is: 303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.22 : 790.89 = 202.53 : x
  2. Step 2: Convert to fraction form
    527.22/790.89 = 202.53/x
  3. Step 3: Cross multiply
    527.22x = 790.89 × 202.53
  4. Step 4: Simplify right side
    527.22x = 160,178.95
  5. Step 5: Solve for x
    x = 160,178.95/527.22
  6. Step 6: Final answer
    x = 303.82

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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.