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Finding the Fourth Proportional to 547.25, 819.95 and 477.99

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Solution

The fourth proportional to 547.25, 819.95 and 477.99 is: 716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.25 : 819.95 = 477.99 : x
  2. Step 2: Convert to fraction form
    547.25/819.95 = 477.99/x
  3. Step 3: Cross multiply
    547.25x = 819.95 × 477.99
  4. Step 4: Simplify right side
    547.25x = 391,925.51
  5. Step 5: Solve for x
    x = 391,925.51/547.25
  6. Step 6: Final answer
    x = 716.18

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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.