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Finding the Fourth Proportional to 616.21, 924.27 and 231.46

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Solution

The fourth proportional to 616.21, 924.27 and 231.46 is: 347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.21 : 924.27 = 231.46 : x
  2. Step 2: Convert to fraction form
    616.21/924.27 = 231.46/x
  3. Step 3: Cross multiply
    616.21x = 924.27 × 231.46
  4. Step 4: Simplify right side
    616.21x = 213,931.53
  5. Step 5: Solve for x
    x = 213,931.53/616.21
  6. Step 6: Final answer
    x = 347.17

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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.