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Finding the Fourth Proportional to 429.82, 592.96 and 264.03

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Solution

The fourth proportional to 429.82, 592.96 and 264.03 is: 364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.82 : 592.96 = 264.03 : x
  2. Step 2: Convert to fraction form
    429.82/592.96 = 264.03/x
  3. Step 3: Cross multiply
    429.82x = 592.96 × 264.03
  4. Step 4: Simplify right side
    429.82x = 156,559.23
  5. Step 5: Solve for x
    x = 156,559.23/429.82
  6. Step 6: Final answer
    x = 364.24

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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.