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Finding the Fourth Proportional to 540.16, 809.36 and 215.36

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Solution

The fourth proportional to 540.16, 809.36 and 215.36 is: 322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 809.36 = 215.36 : x
  2. Step 2: Convert to fraction form
    540.16/809.36 = 215.36/x
  3. Step 3: Cross multiply
    540.16x = 809.36 × 215.36
  4. Step 4: Simplify right side
    540.16x = 174,303.77
  5. Step 5: Solve for x
    x = 174,303.77/540.16
  6. Step 6: Final answer
    x = 322.69

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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.