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Finding the Fourth Proportional to 540.64, 805.92 and 509.28

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Solution

The fourth proportional to 540.64, 805.92 and 509.28 is: 759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.64 : 805.92 = 509.28 : x
  2. Step 2: Convert to fraction form
    540.64/805.92 = 509.28/x
  3. Step 3: Cross multiply
    540.64x = 805.92 × 509.28
  4. Step 4: Simplify right side
    540.64x = 410,438.94
  5. Step 5: Solve for x
    x = 410,438.94/540.64
  6. Step 6: Final answer
    x = 759.17

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Why These Related Problems?

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