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Finding the Fourth Proportional to 612.06, 844.62 and 346.47

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Solution

The fourth proportional to 612.06, 844.62 and 346.47 is: 478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 844.62 = 346.47 : x
  2. Step 2: Convert to fraction form
    612.06/844.62 = 346.47/x
  3. Step 3: Cross multiply
    612.06x = 844.62 × 346.47
  4. Step 4: Simplify right side
    612.06x = 292,633.76
  5. Step 5: Solve for x
    x = 292,633.76/612.06
  6. Step 6: Final answer
    x = 478.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.