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Finding the Fourth Proportional to 364.77, 503.13 and 233.72

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Solution

The fourth proportional to 364.77, 503.13 and 233.72 is: 322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.77 : 503.13 = 233.72 : x
  2. Step 2: Convert to fraction form
    364.77/503.13 = 233.72/x
  3. Step 3: Cross multiply
    364.77x = 503.13 × 233.72
  4. Step 4: Simplify right side
    364.77x = 117,587.86
  5. Step 5: Solve for x
    x = 117,587.86/364.77
  6. Step 6: Final answer
    x = 322.37

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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.