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Finding the Fourth Proportional to 527.41, 790.71 and 202.60

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Solution

The fourth proportional to 527.41, 790.71 and 202.60 is: 303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.41 : 790.71 = 202.60 : x
  2. Step 2: Convert to fraction form
    527.41/790.71 = 202.60/x
  3. Step 3: Cross multiply
    527.41x = 790.71 × 202.60
  4. Step 4: Simplify right side
    527.41x = 160,197.85
  5. Step 5: Solve for x
    x = 160,197.85/527.41
  6. Step 6: Final answer
    x = 303.74

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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.