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Finding the Fourth Proportional to 312.79, 469.19 and 204.67

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Solution

The fourth proportional to 312.79, 469.19 and 204.67 is: 307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.79 : 469.19 = 204.67 : x
  2. Step 2: Convert to fraction form
    312.79/469.19 = 204.67/x
  3. Step 3: Cross multiply
    312.79x = 469.19 × 204.67
  4. Step 4: Simplify right side
    312.79x = 96,029.12
  5. Step 5: Solve for x
    x = 96,029.12/312.79
  6. Step 6: Final answer
    x = 307.01

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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.