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Finding the Fourth Proportional to 337.24, 504.55 and 260.47

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Solution

The fourth proportional to 337.24, 504.55 and 260.47 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.24 : 504.55 = 260.47 : x
  2. Step 2: Convert to fraction form
    337.24/504.55 = 260.47/x
  3. Step 3: Cross multiply
    337.24x = 504.55 × 260.47
  4. Step 4: Simplify right side
    337.24x = 131,420.14
  5. Step 5: Solve for x
    x = 131,420.14/337.24
  6. Step 6: Final answer
    x = 389.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.