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Finding the Fourth Proportional to 504.41, 756 and 260.80

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Solution

The fourth proportional to 504.41, 756 and 260.80 is: 390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.41 : 756 = 260.80 : x
  2. Step 2: Convert to fraction form
    504.41/756 = 260.80/x
  3. Step 3: Cross multiply
    504.41x = 756 × 260.80
  4. Step 4: Simplify right side
    504.41x = 197,162.91
  5. Step 5: Solve for x
    x = 197,162.91/504.41
  6. Step 6: Final answer
    x = 390.88

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