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Finding the Fourth Proportional to 517.11, 774.75 and 429.93

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Solution

The fourth proportional to 517.11, 774.75 and 429.93 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.11 : 774.75 = 429.93 : x
  2. Step 2: Convert to fraction form
    517.11/774.75 = 429.93/x
  3. Step 3: Cross multiply
    517.11x = 774.75 × 429.93
  4. Step 4: Simplify right side
    517.11x = 333,088.27
  5. Step 5: Solve for x
    x = 333,088.27/517.11
  6. Step 6: Final answer
    x = 644.13

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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.