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Finding the Fourth Proportional to 517.59, 776.38 and 188.53

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Solution

The fourth proportional to 517.59, 776.38 and 188.53 is: 282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 776.38 = 188.53 : x
  2. Step 2: Convert to fraction form
    517.59/776.38 = 188.53/x
  3. Step 3: Cross multiply
    517.59x = 776.38 × 188.53
  4. Step 4: Simplify right side
    517.59x = 146,368.51
  5. Step 5: Solve for x
    x = 146,368.51/517.59
  6. Step 6: Final answer
    x = 282.79

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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.