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Finding the Fourth Proportional to 529.12, 793.86 and 204.76

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Solution

The fourth proportional to 529.12, 793.86 and 204.76 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.12 : 793.86 = 204.76 : x
  2. Step 2: Convert to fraction form
    529.12/793.86 = 204.76/x
  3. Step 3: Cross multiply
    529.12x = 793.86 × 204.76
  4. Step 4: Simplify right side
    529.12x = 162,550.77
  5. Step 5: Solve for x
    x = 162,550.77/529.12
  6. Step 6: Final answer
    x = 307.21

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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.