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Finding the Fourth Proportional to 503.88, 755.66 and 260.24

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Solution

The fourth proportional to 503.88, 755.66 and 260.24 is: 390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.88 : 755.66 = 260.24 : x
  2. Step 2: Convert to fraction form
    503.88/755.66 = 260.24/x
  3. Step 3: Cross multiply
    503.88x = 755.66 × 260.24
  4. Step 4: Simplify right side
    503.88x = 196,652.96
  5. Step 5: Solve for x
    x = 196,652.96/503.88
  6. Step 6: Final answer
    x = 390.28

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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.