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Finding the Fourth Proportional to 526.96, 791.16 and 353.12

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Solution

The fourth proportional to 526.96, 791.16 and 353.12 is: 530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.96 : 791.16 = 353.12 : x
  2. Step 2: Convert to fraction form
    526.96/791.16 = 353.12/x
  3. Step 3: Cross multiply
    526.96x = 791.16 × 353.12
  4. Step 4: Simplify right side
    526.96x = 279,374.42
  5. Step 5: Solve for x
    x = 279,374.42/526.96
  6. Step 6: Final answer
    x = 530.16

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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.