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Finding the Fourth Proportional to 318.35, 476.83 and 296.99

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Solution

The fourth proportional to 318.35, 476.83 and 296.99 is: 444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.35 : 476.83 = 296.99 : x
  2. Step 2: Convert to fraction form
    318.35/476.83 = 296.99/x
  3. Step 3: Cross multiply
    318.35x = 476.83 × 296.99
  4. Step 4: Simplify right side
    318.35x = 141,613.74
  5. Step 5: Solve for x
    x = 141,613.74/318.35
  6. Step 6: Final answer
    x = 444.84

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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.