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Finding the Fourth Proportional to 482.52, 665.88 and 465.08

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Solution

The fourth proportional to 482.52, 665.88 and 465.08 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.52 : 665.88 = 465.08 : x
  2. Step 2: Convert to fraction form
    482.52/665.88 = 465.08/x
  3. Step 3: Cross multiply
    482.52x = 665.88 × 465.08
  4. Step 4: Simplify right side
    482.52x = 309,687.47
  5. Step 5: Solve for x
    x = 309,687.47/482.52
  6. Step 6: Final answer
    x = 641.81

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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.