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Finding the Fourth Proportional to 612.12, 921.29 and 458.86

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Solution

The fourth proportional to 612.12, 921.29 and 458.86 is: 690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.12 : 921.29 = 458.86 : x
  2. Step 2: Convert to fraction form
    612.12/921.29 = 458.86/x
  3. Step 3: Cross multiply
    612.12x = 921.29 × 458.86
  4. Step 4: Simplify right side
    612.12x = 422,743.13
  5. Step 5: Solve for x
    x = 422,743.13/612.12
  6. Step 6: Final answer
    x = 690.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.