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Finding the Fourth Proportional to 540.69, 805.62 and 517.10

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Solution

The fourth proportional to 540.69, 805.62 and 517.10 is: 770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 805.62 = 517.10 : x
  2. Step 2: Convert to fraction form
    540.69/805.62 = 517.10/x
  3. Step 3: Cross multiply
    540.69x = 805.62 × 517.10
  4. Step 4: Simplify right side
    540.69x = 416,582.07
  5. Step 5: Solve for x
    x = 416,582.07/540.69
  6. Step 6: Final answer
    x = 770.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.