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Finding the Fourth Proportional to 482.97, 665.04 and 416.01

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Solution

The fourth proportional to 482.97, 665.04 and 416.01 is: 572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.97 : 665.04 = 416.01 : x
  2. Step 2: Convert to fraction form
    482.97/665.04 = 416.01/x
  3. Step 3: Cross multiply
    482.97x = 665.04 × 416.01
  4. Step 4: Simplify right side
    482.97x = 276,663.29
  5. Step 5: Solve for x
    x = 276,663.29/482.97
  6. Step 6: Final answer
    x = 572.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.