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Finding the Fourth Proportional to 482.46, 666.05 and 365.82

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Solution

The fourth proportional to 482.46, 666.05 and 365.82 is: 505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.46 : 666.05 = 365.82 : x
  2. Step 2: Convert to fraction form
    482.46/666.05 = 365.82/x
  3. Step 3: Cross multiply
    482.46x = 666.05 × 365.82
  4. Step 4: Simplify right side
    482.46x = 243,652.58
  5. Step 5: Solve for x
    x = 243,652.58/482.46
  6. Step 6: Final answer
    x = 505.02

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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.