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Finding the Fourth Proportional to 482.36, 663.62 and 419.88

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Solution

The fourth proportional to 482.36, 663.62 and 419.88 is: 577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.36 : 663.62 = 419.88 : x
  2. Step 2: Convert to fraction form
    482.36/663.62 = 419.88/x
  3. Step 3: Cross multiply
    482.36x = 663.62 × 419.88
  4. Step 4: Simplify right side
    482.36x = 278,640.77
  5. Step 5: Solve for x
    x = 278,640.77/482.36
  6. Step 6: Final answer
    x = 577.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.