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Finding the Fourth Proportional to 292.53, 404.76 and 251.02

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Solution

The fourth proportional to 292.53, 404.76 and 251.02 is: 347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.53 : 404.76 = 251.02 : x
  2. Step 2: Convert to fraction form
    292.53/404.76 = 251.02/x
  3. Step 3: Cross multiply
    292.53x = 404.76 × 251.02
  4. Step 4: Simplify right side
    292.53x = 101,602.86
  5. Step 5: Solve for x
    x = 101,602.86/292.53
  6. Step 6: Final answer
    x = 347.32

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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.