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Finding the Fourth Proportional to 509.93, 703.73 and 285.88

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Solution

The fourth proportional to 509.93, 703.73 and 285.88 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 703.73 = 285.88 : x
  2. Step 2: Convert to fraction form
    509.93/703.73 = 285.88/x
  3. Step 3: Cross multiply
    509.93x = 703.73 × 285.88
  4. Step 4: Simplify right side
    509.93x = 201,185.87
  5. Step 5: Solve for x
    x = 201,185.87/509.93
  6. Step 6: Final answer
    x = 394.54

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