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Finding the Fourth Proportional to 540.62, 811.32 and 266.64

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Solution

The fourth proportional to 540.62, 811.32 and 266.64 is: 400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.62 : 811.32 = 266.64 : x
  2. Step 2: Convert to fraction form
    540.62/811.32 = 266.64/x
  3. Step 3: Cross multiply
    540.62x = 811.32 × 266.64
  4. Step 4: Simplify right side
    540.62x = 216,330.89
  5. Step 5: Solve for x
    x = 216,330.89/540.62
  6. Step 6: Final answer
    x = 400.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.