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Finding the Fourth Proportional to 486.04, 670.22 and 311.08

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Solution

The fourth proportional to 486.04, 670.22 and 311.08 is: 428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.04 : 670.22 = 311.08 : x
  2. Step 2: Convert to fraction form
    486.04/670.22 = 311.08/x
  3. Step 3: Cross multiply
    486.04x = 670.22 × 311.08
  4. Step 4: Simplify right side
    486.04x = 208,492.04
  5. Step 5: Solve for x
    x = 208,492.04/486.04
  6. Step 6: Final answer
    x = 428.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.