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Finding the Fourth Proportional to 357.87, 536.00 and 285.78

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Solution

The fourth proportional to 357.87, 536.00 and 285.78 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.87 : 536.00 = 285.78 : x
  2. Step 2: Convert to fraction form
    357.87/536.00 = 285.78/x
  3. Step 3: Cross multiply
    357.87x = 536.00 × 285.78
  4. Step 4: Simplify right side
    357.87x = 153,176.65
  5. Step 5: Solve for x
    x = 153,176.65/357.87
  6. Step 6: Final answer
    x = 428.02

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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.