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Finding the Fourth Proportional to 488.40, 733.24 and 296.40

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Solution

The fourth proportional to 488.40, 733.24 and 296.40 is: 444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.40 : 733.24 = 296.40 : x
  2. Step 2: Convert to fraction form
    488.40/733.24 = 296.40/x
  3. Step 3: Cross multiply
    488.40x = 733.24 × 296.40
  4. Step 4: Simplify right side
    488.40x = 217,332.34
  5. Step 5: Solve for x
    x = 217,332.34/488.40
  6. Step 6: Final answer
    x = 444.99

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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.