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Finding the Fourth Proportional to 503.86, 754.16 and 260.05

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Solution

The fourth proportional to 503.86, 754.16 and 260.05 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.86 : 754.16 = 260.05 : x
  2. Step 2: Convert to fraction form
    503.86/754.16 = 260.05/x
  3. Step 3: Cross multiply
    503.86x = 754.16 × 260.05
  4. Step 4: Simplify right side
    503.86x = 196,119.31
  5. Step 5: Solve for x
    x = 196,119.31/503.86
  6. Step 6: Final answer
    x = 389.23

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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.