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Finding the Fourth Proportional to 616.56, 924.83 and 359.88

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Solution

The fourth proportional to 616.56, 924.83 and 359.88 is: 539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 924.83 = 359.88 : x
  2. Step 2: Convert to fraction form
    616.56/924.83 = 359.88/x
  3. Step 3: Cross multiply
    616.56x = 924.83 × 359.88
  4. Step 4: Simplify right side
    616.56x = 332,827.82
  5. Step 5: Solve for x
    x = 332,827.82/616.56
  6. Step 6: Final answer
    x = 539.81

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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.