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Finding the Fourth Proportional to 540.64, 810.42 and 266.32

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Solution

The fourth proportional to 540.64, 810.42 and 266.32 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.64 : 810.42 = 266.32 : x
  2. Step 2: Convert to fraction form
    540.64/810.42 = 266.32/x
  3. Step 3: Cross multiply
    540.64x = 810.42 × 266.32
  4. Step 4: Simplify right side
    540.64x = 215,831.05
  5. Step 5: Solve for x
    x = 215,831.05/540.64
  6. Step 6: Final answer
    x = 399.21

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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.