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Finding the Fourth Proportional to 488.47, 732.80 and 305.65

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Solution

The fourth proportional to 488.47, 732.80 and 305.65 is: 458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.47 : 732.80 = 305.65 : x
  2. Step 2: Convert to fraction form
    488.47/732.80 = 305.65/x
  3. Step 3: Cross multiply
    488.47x = 732.80 × 305.65
  4. Step 4: Simplify right side
    488.47x = 223,978.22
  5. Step 5: Solve for x
    x = 223,978.22/488.47
  6. Step 6: Final answer
    x = 458.53

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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.