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Finding the Fourth Proportional to 429.62, 592.94 and 318.92

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Solution

The fourth proportional to 429.62, 592.94 and 318.92 is: 440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.62 : 592.94 = 318.92 : x
  2. Step 2: Convert to fraction form
    429.62/592.94 = 318.92/x
  3. Step 3: Cross multiply
    429.62x = 592.94 × 318.92
  4. Step 4: Simplify right side
    429.62x = 189,100.42
  5. Step 5: Solve for x
    x = 189,100.42/429.62
  6. Step 6: Final answer
    x = 440.16

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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.