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Finding the Fourth Proportional to 384.56, 577.12 and 282.14

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Solution

The fourth proportional to 384.56, 577.12 and 282.14 is: 423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.56 : 577.12 = 282.14 : x
  2. Step 2: Convert to fraction form
    384.56/577.12 = 282.14/x
  3. Step 3: Cross multiply
    384.56x = 577.12 × 282.14
  4. Step 4: Simplify right side
    384.56x = 162,828.64
  5. Step 5: Solve for x
    x = 162,828.64/384.56
  6. Step 6: Final answer
    x = 423.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.