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Finding the Fourth Proportional to 612.16, 844.21 and 472.06

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Solution

The fourth proportional to 612.16, 844.21 and 472.06 is: 650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.16 : 844.21 = 472.06 : x
  2. Step 2: Convert to fraction form
    612.16/844.21 = 472.06/x
  3. Step 3: Cross multiply
    612.16x = 844.21 × 472.06
  4. Step 4: Simplify right side
    612.16x = 398,512.01
  5. Step 5: Solve for x
    x = 398,512.01/612.16
  6. Step 6: Final answer
    x = 650.99

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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.