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Finding the Fourth Proportional to 319.99, 441.27 and 302.64

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Solution

The fourth proportional to 319.99, 441.27 and 302.64 is: 417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.99 : 441.27 = 302.64 : x
  2. Step 2: Convert to fraction form
    319.99/441.27 = 302.64/x
  3. Step 3: Cross multiply
    319.99x = 441.27 × 302.64
  4. Step 4: Simplify right side
    319.99x = 133,545.95
  5. Step 5: Solve for x
    x = 133,545.95/319.99
  6. Step 6: Final answer
    x = 417.34

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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.