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Finding the Fourth Proportional to 526.56, 791.28 and 310.20

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Solution

The fourth proportional to 526.56, 791.28 and 310.20 is: 466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 791.28 = 310.20 : x
  2. Step 2: Convert to fraction form
    526.56/791.28 = 310.20/x
  3. Step 3: Cross multiply
    526.56x = 791.28 × 310.20
  4. Step 4: Simplify right side
    526.56x = 245,455.06
  5. Step 5: Solve for x
    x = 245,455.06/526.56
  6. Step 6: Final answer
    x = 466.15

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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.