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Finding the Fourth Proportional to 357.12, 534.87 and 285.03

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Solution

The fourth proportional to 357.12, 534.87 and 285.03 is: 426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.12 : 534.87 = 285.03 : x
  2. Step 2: Convert to fraction form
    357.12/534.87 = 285.03/x
  3. Step 3: Cross multiply
    357.12x = 534.87 × 285.03
  4. Step 4: Simplify right side
    357.12x = 152,454.00
  5. Step 5: Solve for x
    x = 152,454.00/357.12
  6. Step 6: Final answer
    x = 426.90

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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.