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Finding the Fourth Proportional to 529.34, 793.64 and 285.62

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Solution

The fourth proportional to 529.34, 793.64 and 285.62 is: 428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 793.64 = 285.62 : x
  2. Step 2: Convert to fraction form
    529.34/793.64 = 285.62/x
  3. Step 3: Cross multiply
    529.34x = 793.64 × 285.62
  4. Step 4: Simplify right side
    529.34x = 226,679.46
  5. Step 5: Solve for x
    x = 226,679.46/529.34
  6. Step 6: Final answer
    x = 428.23

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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.