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Finding the Fourth Proportional to 476.50, 657.12 and 310.84

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Solution

The fourth proportional to 476.50, 657.12 and 310.84 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.50 : 657.12 = 310.84 : x
  2. Step 2: Convert to fraction form
    476.50/657.12 = 310.84/x
  3. Step 3: Cross multiply
    476.50x = 657.12 × 310.84
  4. Step 4: Simplify right side
    476.50x = 204,259.18
  5. Step 5: Solve for x
    x = 204,259.18/476.50
  6. Step 6: Final answer
    x = 428.67

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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.