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Finding the Fourth Proportional to 612.72, 844.08 and 465.24

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Solution

The fourth proportional to 612.72, 844.08 and 465.24 is: 640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.72 : 844.08 = 465.24 : x
  2. Step 2: Convert to fraction form
    612.72/844.08 = 465.24/x
  3. Step 3: Cross multiply
    612.72x = 844.08 × 465.24
  4. Step 4: Simplify right side
    612.72x = 392,699.78
  5. Step 5: Solve for x
    x = 392,699.78/612.72
  6. Step 6: Final answer
    x = 640.91

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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.