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Finding the Fourth Proportional to 509.08, 759.62 and 478.12

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Solution

The fourth proportional to 509.08, 759.62 and 478.12 is: 713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 759.62 = 478.12 : x
  2. Step 2: Convert to fraction form
    509.08/759.62 = 478.12/x
  3. Step 3: Cross multiply
    509.08x = 759.62 × 478.12
  4. Step 4: Simplify right side
    509.08x = 363,189.51
  5. Step 5: Solve for x
    x = 363,189.51/509.08
  6. Step 6: Final answer
    x = 713.42

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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.