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Finding the Fourth Proportional to 488.56, 732.36 and 295.84

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Solution

The fourth proportional to 488.56, 732.36 and 295.84 is: 443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.56 : 732.36 = 295.84 : x
  2. Step 2: Convert to fraction form
    488.56/732.36 = 295.84/x
  3. Step 3: Cross multiply
    488.56x = 732.36 × 295.84
  4. Step 4: Simplify right side
    488.56x = 216,661.38
  5. Step 5: Solve for x
    x = 216,661.38/488.56
  6. Step 6: Final answer
    x = 443.47

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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.