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Finding the Fourth Proportional to 504.40, 755.80 and 260.56

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Solution

The fourth proportional to 504.40, 755.80 and 260.56 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.40 : 755.80 = 260.56 : x
  2. Step 2: Convert to fraction form
    504.40/755.80 = 260.56/x
  3. Step 3: Cross multiply
    504.40x = 755.80 × 260.56
  4. Step 4: Simplify right side
    504.40x = 196,931.25
  5. Step 5: Solve for x
    x = 196,931.25/504.40
  6. Step 6: Final answer
    x = 390.43

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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.