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Finding the Fourth Proportional to 482.48, 723.82 and 287.66

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Solution

The fourth proportional to 482.48, 723.82 and 287.66 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.48 : 723.82 = 287.66 : x
  2. Step 2: Convert to fraction form
    482.48/723.82 = 287.66/x
  3. Step 3: Cross multiply
    482.48x = 723.82 × 287.66
  4. Step 4: Simplify right side
    482.48x = 208,214.06
  5. Step 5: Solve for x
    x = 208,214.06/482.48
  6. Step 6: Final answer
    x = 431.55

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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.