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Finding the Fourth Proportional to 612.52, 844.98 and 415.72

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Solution

The fourth proportional to 612.52, 844.98 and 415.72 is: 573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.52 : 844.98 = 415.72 : x
  2. Step 2: Convert to fraction form
    612.52/844.98 = 415.72/x
  3. Step 3: Cross multiply
    612.52x = 844.98 × 415.72
  4. Step 4: Simplify right side
    612.52x = 351,275.09
  5. Step 5: Solve for x
    x = 351,275.09/612.52
  6. Step 6: Final answer
    x = 573.49

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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.