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Finding the Fourth Proportional to 547.58, 819.23 and 384.16

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Solution

The fourth proportional to 547.58, 819.23 and 384.16 is: 574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.58 : 819.23 = 384.16 : x
  2. Step 2: Convert to fraction form
    547.58/819.23 = 384.16/x
  3. Step 3: Cross multiply
    547.58x = 819.23 × 384.16
  4. Step 4: Simplify right side
    547.58x = 314,715.40
  5. Step 5: Solve for x
    x = 314,715.40/547.58
  6. Step 6: Final answer
    x = 574.74

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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.