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Finding the Fourth Proportional to 504.30, 755.84 and 260.70

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Solution

The fourth proportional to 504.30, 755.84 and 260.70 is: 390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.30 : 755.84 = 260.70 : x
  2. Step 2: Convert to fraction form
    504.30/755.84 = 260.70/x
  3. Step 3: Cross multiply
    504.30x = 755.84 × 260.70
  4. Step 4: Simplify right side
    504.30x = 197,047.49
  5. Step 5: Solve for x
    x = 197,047.49/504.30
  6. Step 6: Final answer
    x = 390.73

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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.