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Finding the Fourth Proportional to 612.48, 844.64 and 416.20

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Solution

The fourth proportional to 612.48, 844.64 and 416.20 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.48 : 844.64 = 416.20 : x
  2. Step 2: Convert to fraction form
    612.48/844.64 = 416.20/x
  3. Step 3: Cross multiply
    612.48x = 844.64 × 416.20
  4. Step 4: Simplify right side
    612.48x = 351,539.17
  5. Step 5: Solve for x
    x = 351,539.17/612.48
  6. Step 6: Final answer
    x = 573.96

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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.