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Finding the Fourth Proportional to 364.24, 503.98 and 317.72

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Solution

The fourth proportional to 364.24, 503.98 and 317.72 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.24 : 503.98 = 317.72 : x
  2. Step 2: Convert to fraction form
    364.24/503.98 = 317.72/x
  3. Step 3: Cross multiply
    364.24x = 503.98 × 317.72
  4. Step 4: Simplify right side
    364.24x = 160,124.53
  5. Step 5: Solve for x
    x = 160,124.53/364.24
  6. Step 6: Final answer
    x = 439.61

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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.