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Finding the Fourth Proportional to 616.07, 924.39 and 455.09

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Solution

The fourth proportional to 616.07, 924.39 and 455.09 is: 682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.07 : 924.39 = 455.09 : x
  2. Step 2: Convert to fraction form
    616.07/924.39 = 455.09/x
  3. Step 3: Cross multiply
    616.07x = 924.39 × 455.09
  4. Step 4: Simplify right side
    616.07x = 420,676.02
  5. Step 5: Solve for x
    x = 420,676.02/616.07
  6. Step 6: Final answer
    x = 682.84

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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.