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Finding the Fourth Proportional to 547.29, 824.59 and 495.30

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Solution

The fourth proportional to 547.29, 824.59 and 495.30 is: 746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.29 : 824.59 = 495.30 : x
  2. Step 2: Convert to fraction form
    547.29/824.59 = 495.30/x
  3. Step 3: Cross multiply
    547.29x = 824.59 × 495.30
  4. Step 4: Simplify right side
    547.29x = 408,417.72
  5. Step 5: Solve for x
    x = 408,417.72/547.29
  6. Step 6: Final answer
    x = 746.26

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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.