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Finding the Fourth Proportional to 509, 762.72 and 335.52

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Solution

The fourth proportional to 509, 762.72 and 335.52 is: 502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 762.72 = 335.52 : x
  2. Step 2: Convert to fraction form
    509/762.72 = 335.52/x
  3. Step 3: Cross multiply
    509x = 762.72 × 335.52
  4. Step 4: Simplify right side
    509x = 255,907.81
  5. Step 5: Solve for x
    x = 255,907.81/509
  6. Step 6: Final answer
    x = 502.77

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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.