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Finding the Fourth Proportional to 509.16, 763.52 and 180.01

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Solution

The fourth proportional to 509.16, 763.52 and 180.01 is: 269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.16 : 763.52 = 180.01 : x
  2. Step 2: Convert to fraction form
    509.16/763.52 = 180.01/x
  3. Step 3: Cross multiply
    509.16x = 763.52 × 180.01
  4. Step 4: Simplify right side
    509.16x = 137,441.24
  5. Step 5: Solve for x
    x = 137,441.24/509.16
  6. Step 6: Final answer
    x = 269.94

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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.