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Finding the Fourth Proportional to 509.03, 761.86 and 386.62

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Solution

The fourth proportional to 509.03, 761.86 and 386.62 is: 578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.03 : 761.86 = 386.62 : x
  2. Step 2: Convert to fraction form
    509.03/761.86 = 386.62/x
  3. Step 3: Cross multiply
    509.03x = 761.86 × 386.62
  4. Step 4: Simplify right side
    509.03x = 294,550.31
  5. Step 5: Solve for x
    x = 294,550.31/509.03
  6. Step 6: Final answer
    x = 578.65

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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.