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Finding the Fourth Proportional to 612.52, 844.70 and 472.42

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Solution

The fourth proportional to 612.52, 844.70 and 472.42 is: 651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.52 : 844.70 = 472.42 : x
  2. Step 2: Convert to fraction form
    612.52/844.70 = 472.42/x
  3. Step 3: Cross multiply
    612.52x = 844.70 × 472.42
  4. Step 4: Simplify right side
    612.52x = 399,048.95
  5. Step 5: Solve for x
    x = 399,048.95/612.52
  6. Step 6: Final answer
    x = 651.49

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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.