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Finding the Fourth Proportional to 540.16, 809.64 and 215.32

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Solution

The fourth proportional to 540.16, 809.64 and 215.32 is: 322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 809.64 = 215.32 : x
  2. Step 2: Convert to fraction form
    540.16/809.64 = 215.32/x
  3. Step 3: Cross multiply
    540.16x = 809.64 × 215.32
  4. Step 4: Simplify right side
    540.16x = 174,331.68
  5. Step 5: Solve for x
    x = 174,331.68/540.16
  6. Step 6: Final answer
    x = 322.74

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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.