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Finding the Fourth Proportional to 384.15, 574.23 and 285.73

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Solution

The fourth proportional to 384.15, 574.23 and 285.73 is: 427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.15 : 574.23 = 285.73 : x
  2. Step 2: Convert to fraction form
    384.15/574.23 = 285.73/x
  3. Step 3: Cross multiply
    384.15x = 574.23 × 285.73
  4. Step 4: Simplify right side
    384.15x = 164,074.74
  5. Step 5: Solve for x
    x = 164,074.74/384.15
  6. Step 6: Final answer
    x = 427.11

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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.