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Finding the Fourth Proportional to 457.83, 631.50 and 364.44

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Solution

The fourth proportional to 457.83, 631.50 and 364.44 is: 502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.83 : 631.50 = 364.44 : x
  2. Step 2: Convert to fraction form
    457.83/631.50 = 364.44/x
  3. Step 3: Cross multiply
    457.83x = 631.50 × 364.44
  4. Step 4: Simplify right side
    457.83x = 230,143.86
  5. Step 5: Solve for x
    x = 230,143.86/457.83
  6. Step 6: Final answer
    x = 502.68

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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.