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Finding the Fourth Proportional to 364.97, 504.24 and 254.93

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Solution

The fourth proportional to 364.97, 504.24 and 254.93 is: 352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.97 : 504.24 = 254.93 : x
  2. Step 2: Convert to fraction form
    364.97/504.24 = 254.93/x
  3. Step 3: Cross multiply
    364.97x = 504.24 × 254.93
  4. Step 4: Simplify right side
    364.97x = 128,543.38
  5. Step 5: Solve for x
    x = 128,543.38/364.97
  6. Step 6: Final answer
    x = 352.21

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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.