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Finding the Fourth Proportional to 482.30, 665.06 and 377.20

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Solution

The fourth proportional to 482.30, 665.06 and 377.20 is: 520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.30 : 665.06 = 377.20 : x
  2. Step 2: Convert to fraction form
    482.30/665.06 = 377.20/x
  3. Step 3: Cross multiply
    482.30x = 665.06 × 377.20
  4. Step 4: Simplify right side
    482.30x = 250,860.63
  5. Step 5: Solve for x
    x = 250,860.63/482.30
  6. Step 6: Final answer
    x = 520.13

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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.