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Finding the Fourth Proportional to 493.42, 740.10 and 204.86

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Solution

The fourth proportional to 493.42, 740.10 and 204.86 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.42 : 740.10 = 204.86 : x
  2. Step 2: Convert to fraction form
    493.42/740.10 = 204.86/x
  3. Step 3: Cross multiply
    493.42x = 740.10 × 204.86
  4. Step 4: Simplify right side
    493.42x = 151,616.89
  5. Step 5: Solve for x
    x = 151,616.89/493.42
  6. Step 6: Final answer
    x = 307.28

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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.