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Finding the Fourth Proportional to 364.91, 503.77 and 264.57

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Solution

The fourth proportional to 364.91, 503.77 and 264.57 is: 365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.91 : 503.77 = 264.57 : x
  2. Step 2: Convert to fraction form
    364.91/503.77 = 264.57/x
  3. Step 3: Cross multiply
    364.91x = 503.77 × 264.57
  4. Step 4: Simplify right side
    364.91x = 133,279.91
  5. Step 5: Solve for x
    x = 133,279.91/364.91
  6. Step 6: Final answer
    x = 365.25

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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.