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Finding the Fourth Proportional to 429.58, 592.77 and 263.80

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Solution

The fourth proportional to 429.58, 592.77 and 263.80 is: 364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.58 : 592.77 = 263.80 : x
  2. Step 2: Convert to fraction form
    429.58/592.77 = 263.80/x
  3. Step 3: Cross multiply
    429.58x = 592.77 × 263.80
  4. Step 4: Simplify right side
    429.58x = 156,368.44
  5. Step 5: Solve for x
    x = 156,368.44/429.58
  6. Step 6: Final answer
    x = 364.01

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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.