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Finding the Fourth Proportional to 527.10, 790.69 and 202.29

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Solution

The fourth proportional to 527.10, 790.69 and 202.29 is: 303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.10 : 790.69 = 202.29 : x
  2. Step 2: Convert to fraction form
    527.10/790.69 = 202.29/x
  3. Step 3: Cross multiply
    527.10x = 790.69 × 202.29
  4. Step 4: Simplify right side
    527.10x = 159,948.68
  5. Step 5: Solve for x
    x = 159,948.68/527.10
  6. Step 6: Final answer
    x = 303.45

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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.