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Finding the Fourth Proportional to 488.72, 732.88 and 305.84

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Solution

The fourth proportional to 488.72, 732.88 and 305.84 is: 458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.72 : 732.88 = 305.84 : x
  2. Step 2: Convert to fraction form
    488.72/732.88 = 305.84/x
  3. Step 3: Cross multiply
    488.72x = 732.88 × 305.84
  4. Step 4: Simplify right side
    488.72x = 224,144.02
  5. Step 5: Solve for x
    x = 224,144.02/488.72
  6. Step 6: Final answer
    x = 458.63

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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.