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Finding the Fourth Proportional to 364.68, 503.14 and 253.91

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Solution

The fourth proportional to 364.68, 503.14 and 253.91 is: 350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 503.14 = 253.91 : x
  2. Step 2: Convert to fraction form
    364.68/503.14 = 253.91/x
  3. Step 3: Cross multiply
    364.68x = 503.14 × 253.91
  4. Step 4: Simplify right side
    364.68x = 127,752.28
  5. Step 5: Solve for x
    x = 127,752.28/364.68
  6. Step 6: Final answer
    x = 350.31

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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.