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Finding the Fourth Proportional to 482.22, 665.01 and 416.34

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Solution

The fourth proportional to 482.22, 665.01 and 416.34 is: 574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.22 : 665.01 = 416.34 : x
  2. Step 2: Convert to fraction form
    482.22/665.01 = 416.34/x
  3. Step 3: Cross multiply
    482.22x = 665.01 × 416.34
  4. Step 4: Simplify right side
    482.22x = 276,870.26
  5. Step 5: Solve for x
    x = 276,870.26/482.22
  6. Step 6: Final answer
    x = 574.16

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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.