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Finding the Fourth Proportional to 616.26, 924.48 and 251.07

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Solution

The fourth proportional to 616.26, 924.48 and 251.07 is: 376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 924.48 = 251.07 : x
  2. Step 2: Convert to fraction form
    616.26/924.48 = 251.07/x
  3. Step 3: Cross multiply
    616.26x = 924.48 × 251.07
  4. Step 4: Simplify right side
    616.26x = 232,109.19
  5. Step 5: Solve for x
    x = 232,109.19/616.26
  6. Step 6: Final answer
    x = 376.64

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Why These Related Problems?

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