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Finding the Fourth Proportional to 333.65, 500.58 and 285.26

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Solution

The fourth proportional to 333.65, 500.58 and 285.26 is: 427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.65 : 500.58 = 285.26 : x
  2. Step 2: Convert to fraction form
    333.65/500.58 = 285.26/x
  3. Step 3: Cross multiply
    333.65x = 500.58 × 285.26
  4. Step 4: Simplify right side
    333.65x = 142,792.95
  5. Step 5: Solve for x
    x = 142,792.95/333.65
  6. Step 6: Final answer
    x = 427.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.