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Finding the Fourth Proportional to 517.39, 775.64 and 461.90

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Solution

The fourth proportional to 517.39, 775.64 and 461.90 is: 692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.39 : 775.64 = 461.90 : x
  2. Step 2: Convert to fraction form
    517.39/775.64 = 461.90/x
  3. Step 3: Cross multiply
    517.39x = 775.64 × 461.90
  4. Step 4: Simplify right side
    517.39x = 358,271.21
  5. Step 5: Solve for x
    x = 358,271.21/517.39
  6. Step 6: Final answer
    x = 692.46

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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.