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Finding the Fourth Proportional to 909.88, 1,364.81 and 332.75

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Solution

The fourth proportional to 909.88, 1,364.81 and 332.75 is: 499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.88 : 1,364.81 = 332.75 : x
  2. Step 2: Convert to fraction form
    909.88/1,364.81 = 332.75/x
  3. Step 3: Cross multiply
    909.88x = 1,364.81 × 332.75
  4. Step 4: Simplify right side
    909.88x = 454,140.53
  5. Step 5: Solve for x
    x = 454,140.53/909.88
  6. Step 6: Final answer
    x = 499.12

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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.