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Finding the Fourth Proportional to 517.40, 776.14 and 301.08

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Solution

The fourth proportional to 517.40, 776.14 and 301.08 is: 451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.40 : 776.14 = 301.08 : x
  2. Step 2: Convert to fraction form
    517.40/776.14 = 301.08/x
  3. Step 3: Cross multiply
    517.40x = 776.14 × 301.08
  4. Step 4: Simplify right side
    517.40x = 233,680.23
  5. Step 5: Solve for x
    x = 233,680.23/517.40
  6. Step 6: Final answer
    x = 451.64

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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.