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Finding the Fourth Proportional to 528.25, 791.68 and 459.45

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Solution

The fourth proportional to 528.25, 791.68 and 459.45 is: 688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.25 : 791.68 = 459.45 : x
  2. Step 2: Convert to fraction form
    528.25/791.68 = 459.45/x
  3. Step 3: Cross multiply
    528.25x = 791.68 × 459.45
  4. Step 4: Simplify right side
    528.25x = 363,737.38
  5. Step 5: Solve for x
    x = 363,737.38/528.25
  6. Step 6: Final answer
    x = 688.57

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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.