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Finding the Fourth Proportional to 517.39, 775.91 and 152.19

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Solution

The fourth proportional to 517.39, 775.91 and 152.19 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.39 : 775.91 = 152.19 : x
  2. Step 2: Convert to fraction form
    517.39/775.91 = 152.19/x
  3. Step 3: Cross multiply
    517.39x = 775.91 × 152.19
  4. Step 4: Simplify right side
    517.39x = 118,086.12
  5. Step 5: Solve for x
    x = 118,086.12/517.39
  6. Step 6: Final answer
    x = 228.24

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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.