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Finding the Fourth Proportional to 482.25, 665.60 and 275.25

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Solution

The fourth proportional to 482.25, 665.60 and 275.25 is: 379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 665.60 = 275.25 : x
  2. Step 2: Convert to fraction form
    482.25/665.60 = 275.25/x
  3. Step 3: Cross multiply
    482.25x = 665.60 × 275.25
  4. Step 4: Simplify right side
    482.25x = 183,205.02
  5. Step 5: Solve for x
    x = 183,205.02/482.25
  6. Step 6: Final answer
    x = 379.90

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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.