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Finding the Fourth Proportional to 527.17, 790.48 and 202.45

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Solution

The fourth proportional to 527.17, 790.48 and 202.45 is: 303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.17 : 790.48 = 202.45 : x
  2. Step 2: Convert to fraction form
    527.17/790.48 = 202.45/x
  3. Step 3: Cross multiply
    527.17x = 790.48 × 202.45
  4. Step 4: Simplify right side
    527.17x = 160,032.68
  5. Step 5: Solve for x
    x = 160,032.68/527.17
  6. Step 6: Final answer
    x = 303.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.