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Finding the Fourth Proportional to 364.22, 503.26 and 291.14

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Solution

The fourth proportional to 364.22, 503.26 and 291.14 is: 402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.22 : 503.26 = 291.14 : x
  2. Step 2: Convert to fraction form
    364.22/503.26 = 291.14/x
  3. Step 3: Cross multiply
    364.22x = 503.26 × 291.14
  4. Step 4: Simplify right side
    364.22x = 146,515.87
  5. Step 5: Solve for x
    x = 146,515.87/364.22
  6. Step 6: Final answer
    x = 402.28

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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.