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Finding the Fourth Proportional to 384.92, 577.75 and 282.86

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Solution

The fourth proportional to 384.92, 577.75 and 282.86 is: 424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.92 : 577.75 = 282.86 : x
  2. Step 2: Convert to fraction form
    384.92/577.75 = 282.86/x
  3. Step 3: Cross multiply
    384.92x = 577.75 × 282.86
  4. Step 4: Simplify right side
    384.92x = 163,422.37
  5. Step 5: Solve for x
    x = 163,422.37/384.92
  6. Step 6: Final answer
    x = 424.56

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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.