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Finding the Fourth Proportional to 547.18, 824.81 and 456.48

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Solution

The fourth proportional to 547.18, 824.81 and 456.48 is: 688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.18 : 824.81 = 456.48 : x
  2. Step 2: Convert to fraction form
    547.18/824.81 = 456.48/x
  3. Step 3: Cross multiply
    547.18x = 824.81 × 456.48
  4. Step 4: Simplify right side
    547.18x = 376,509.27
  5. Step 5: Solve for x
    x = 376,509.27/547.18
  6. Step 6: Final answer
    x = 688.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.