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Finding the Fourth Proportional to 616.24, 924.33 and 251.02

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Solution

The fourth proportional to 616.24, 924.33 and 251.02 is: 376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.24 : 924.33 = 251.02 : x
  2. Step 2: Convert to fraction form
    616.24/924.33 = 251.02/x
  3. Step 3: Cross multiply
    616.24x = 924.33 × 251.02
  4. Step 4: Simplify right side
    616.24x = 232,025.32
  5. Step 5: Solve for x
    x = 232,025.32/616.24
  6. Step 6: Final answer
    x = 376.52

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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.