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Finding the Fourth Proportional to 509.02, 763.66 and 216.36

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Solution

The fourth proportional to 509.02, 763.66 and 216.36 is: 324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.02 : 763.66 = 216.36 : x
  2. Step 2: Convert to fraction form
    509.02/763.66 = 216.36/x
  3. Step 3: Cross multiply
    509.02x = 763.66 × 216.36
  4. Step 4: Simplify right side
    509.02x = 165,225.48
  5. Step 5: Solve for x
    x = 165,225.48/509.02
  6. Step 6: Final answer
    x = 324.60

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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.