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Finding the Fourth Proportional to 612.84, 845.82 and 416.22

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Solution

The fourth proportional to 612.84, 845.82 and 416.22 is: 574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.84 : 845.82 = 416.22 : x
  2. Step 2: Convert to fraction form
    612.84/845.82 = 416.22/x
  3. Step 3: Cross multiply
    612.84x = 845.82 × 416.22
  4. Step 4: Simplify right side
    612.84x = 352,047.20
  5. Step 5: Solve for x
    x = 352,047.20/612.84
  6. Step 6: Final answer
    x = 574.45

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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.