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Finding the Fourth Proportional to 429.64, 592.69 and 254.86

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Solution

The fourth proportional to 429.64, 592.69 and 254.86 is: 351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.64 : 592.69 = 254.86 : x
  2. Step 2: Convert to fraction form
    429.64/592.69 = 254.86/x
  3. Step 3: Cross multiply
    429.64x = 592.69 × 254.86
  4. Step 4: Simplify right side
    429.64x = 151,048.74
  5. Step 5: Solve for x
    x = 151,048.74/429.64
  6. Step 6: Final answer
    x = 351.57

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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.