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Finding the Fourth Proportional to 529.30, 794.55 and 285.70

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Solution

The fourth proportional to 529.30, 794.55 and 285.70 is: 428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.30 : 794.55 = 285.70 : x
  2. Step 2: Convert to fraction form
    529.30/794.55 = 285.70/x
  3. Step 3: Cross multiply
    529.30x = 794.55 × 285.70
  4. Step 4: Simplify right side
    529.30x = 227,002.94
  5. Step 5: Solve for x
    x = 227,002.94/529.30
  6. Step 6: Final answer
    x = 428.87

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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.