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Finding the Fourth Proportional to 509.24, 764.10 and 201.32

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Solution

The fourth proportional to 509.24, 764.10 and 201.32 is: 302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 764.10 = 201.32 : x
  2. Step 2: Convert to fraction form
    509.24/764.10 = 201.32/x
  3. Step 3: Cross multiply
    509.24x = 764.10 × 201.32
  4. Step 4: Simplify right side
    509.24x = 153,828.61
  5. Step 5: Solve for x
    x = 153,828.61/509.24
  6. Step 6: Final answer
    x = 302.07

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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.