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Finding the Fourth Proportional to 302.14, 415.76 and 294.08

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Solution

The fourth proportional to 302.14, 415.76 and 294.08 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.14 : 415.76 = 294.08 : x
  2. Step 2: Convert to fraction form
    302.14/415.76 = 294.08/x
  3. Step 3: Cross multiply
    302.14x = 415.76 × 294.08
  4. Step 4: Simplify right side
    302.14x = 122,266.70
  5. Step 5: Solve for x
    x = 122,266.70/302.14
  6. Step 6: Final answer
    x = 404.67

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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.