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Finding the Fourth Proportional to 505.83, 759.10 and 228.26

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Solution

The fourth proportional to 505.83, 759.10 and 228.26 is: 342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 759.10 = 228.26 : x
  2. Step 2: Convert to fraction form
    505.83/759.10 = 228.26/x
  3. Step 3: Cross multiply
    505.83x = 759.10 × 228.26
  4. Step 4: Simplify right side
    505.83x = 173,272.17
  5. Step 5: Solve for x
    x = 173,272.17/505.83
  6. Step 6: Final answer
    x = 342.55

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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.