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Finding the Fourth Proportional to 509.90, 703.64 and 285.83

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Solution

The fourth proportional to 509.90, 703.64 and 285.83 is: 394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.90 : 703.64 = 285.83 : x
  2. Step 2: Convert to fraction form
    509.90/703.64 = 285.83/x
  3. Step 3: Cross multiply
    509.90x = 703.64 × 285.83
  4. Step 4: Simplify right side
    509.90x = 201,119.65
  5. Step 5: Solve for x
    x = 201,119.65/509.90
  6. Step 6: Final answer
    x = 394.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.