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Finding the Fourth Proportional to 429.44, 592.16 and 364

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Solution

The fourth proportional to 429.44, 592.16 and 364 is: 501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.44 : 592.16 = 364 : x
  2. Step 2: Convert to fraction form
    429.44/592.16 = 364/x
  3. Step 3: Cross multiply
    429.44x = 592.16 × 364
  4. Step 4: Simplify right side
    429.44x = 215,546.24
  5. Step 5: Solve for x
    x = 215,546.24/429.44
  6. Step 6: Final answer
    x = 501.92

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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.