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Finding the Fourth Proportional to 482.06, 665.07 and 307.70

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Solution

The fourth proportional to 482.06, 665.07 and 307.70 is: 424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.06 : 665.07 = 307.70 : x
  2. Step 2: Convert to fraction form
    482.06/665.07 = 307.70/x
  3. Step 3: Cross multiply
    482.06x = 665.07 × 307.70
  4. Step 4: Simplify right side
    482.06x = 204,642.04
  5. Step 5: Solve for x
    x = 204,642.04/482.06
  6. Step 6: Final answer
    x = 424.52

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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.