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Finding the Fourth Proportional to 612.06, 916.80 and 416.40

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Solution

The fourth proportional to 612.06, 916.80 and 416.40 is: 623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 916.80 = 416.40 : x
  2. Step 2: Convert to fraction form
    612.06/916.80 = 416.40/x
  3. Step 3: Cross multiply
    612.06x = 916.80 × 416.40
  4. Step 4: Simplify right side
    612.06x = 381,755.52
  5. Step 5: Solve for x
    x = 381,755.52/612.06
  6. Step 6: Final answer
    x = 623.72

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