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Finding the Fourth Proportional to 612.39, 844.47 and 472.53

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Solution

The fourth proportional to 612.39, 844.47 and 472.53 is: 651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.39 : 844.47 = 472.53 : x
  2. Step 2: Convert to fraction form
    612.39/844.47 = 472.53/x
  3. Step 3: Cross multiply
    612.39x = 844.47 × 472.53
  4. Step 4: Simplify right side
    612.39x = 399,037.41
  5. Step 5: Solve for x
    x = 399,037.41/612.39
  6. Step 6: Final answer
    x = 651.61

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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.