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Finding the Fourth Proportional to 429.91, 592.86 and 282.36

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Solution

The fourth proportional to 429.91, 592.86 and 282.36 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.91 : 592.86 = 282.36 : x
  2. Step 2: Convert to fraction form
    429.91/592.86 = 282.36/x
  3. Step 3: Cross multiply
    429.91x = 592.86 × 282.36
  4. Step 4: Simplify right side
    429.91x = 167,399.95
  5. Step 5: Solve for x
    x = 167,399.95/429.91
  6. Step 6: Final answer
    x = 389.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.