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Finding the Fourth Proportional to 493.55, 740.42 and 285.11

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Solution

The fourth proportional to 493.55, 740.42 and 285.11 is: 427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.55 : 740.42 = 285.11 : x
  2. Step 2: Convert to fraction form
    493.55/740.42 = 285.11/x
  3. Step 3: Cross multiply
    493.55x = 740.42 × 285.11
  4. Step 4: Simplify right side
    493.55x = 211,099.72
  5. Step 5: Solve for x
    x = 211,099.72/493.55
  6. Step 6: Final answer
    x = 427.72

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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.