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Finding the Fourth Proportional to 488.84, 733.98 and 305.72

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Solution

The fourth proportional to 488.84, 733.98 and 305.72 is: 459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.84 : 733.98 = 305.72 : x
  2. Step 2: Convert to fraction form
    488.84/733.98 = 305.72/x
  3. Step 3: Cross multiply
    488.84x = 733.98 × 305.72
  4. Step 4: Simplify right side
    488.84x = 224,392.37
  5. Step 5: Solve for x
    x = 224,392.37/488.84
  6. Step 6: Final answer
    x = 459.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.