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Finding the Fourth Proportional to 619.28, 924.34 and 547.16

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Solution

The fourth proportional to 619.28, 924.34 and 547.16 is: 816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.28 : 924.34 = 547.16 : x
  2. Step 2: Convert to fraction form
    619.28/924.34 = 547.16/x
  3. Step 3: Cross multiply
    619.28x = 924.34 × 547.16
  4. Step 4: Simplify right side
    619.28x = 505,761.87
  5. Step 5: Solve for x
    x = 505,761.87/619.28
  6. Step 6: Final answer
    x = 816.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.