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Finding the Fourth Proportional to 429.64, 592.68 and 282.20

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Solution

The fourth proportional to 429.64, 592.68 and 282.20 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.64 : 592.68 = 282.20 : x
  2. Step 2: Convert to fraction form
    429.64/592.68 = 282.20/x
  3. Step 3: Cross multiply
    429.64x = 592.68 × 282.20
  4. Step 4: Simplify right side
    429.64x = 167,254.30
  5. Step 5: Solve for x
    x = 167,254.30/429.64
  6. Step 6: Final answer
    x = 389.29

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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.