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Finding the Fourth Proportional to 505.93, 758.74 and 332.59

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Solution

The fourth proportional to 505.93, 758.74 and 332.59 is: 498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.93 : 758.74 = 332.59 : x
  2. Step 2: Convert to fraction form
    505.93/758.74 = 332.59/x
  3. Step 3: Cross multiply
    505.93x = 758.74 × 332.59
  4. Step 4: Simplify right side
    505.93x = 252,349.34
  5. Step 5: Solve for x
    x = 252,349.34/505.93
  6. Step 6: Final answer
    x = 498.78

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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.