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Finding the Fourth Proportional to 612.06, 920.12 and 475.17

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Solution

The fourth proportional to 612.06, 920.12 and 475.17 is: 714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 920.12 = 475.17 : x
  2. Step 2: Convert to fraction form
    612.06/920.12 = 475.17/x
  3. Step 3: Cross multiply
    612.06x = 920.12 × 475.17
  4. Step 4: Simplify right side
    612.06x = 437,211.04
  5. Step 5: Solve for x
    x = 437,211.04/612.06
  6. Step 6: Final answer
    x = 714.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.