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Finding the Fourth Proportional to 504.83, 757.72 and 261.53

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Solution

The fourth proportional to 504.83, 757.72 and 261.53 is: 392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.83 : 757.72 = 261.53 : x
  2. Step 2: Convert to fraction form
    504.83/757.72 = 261.53/x
  3. Step 3: Cross multiply
    504.83x = 757.72 × 261.53
  4. Step 4: Simplify right side
    504.83x = 198,162.07
  5. Step 5: Solve for x
    x = 198,162.07/504.83
  6. Step 6: Final answer
    x = 392.54

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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.