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Finding the Fourth Proportional to 312.04, 430.68 and 301.51

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Solution

The fourth proportional to 312.04, 430.68 and 301.51 is: 416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.04 : 430.68 = 301.51 : x
  2. Step 2: Convert to fraction form
    312.04/430.68 = 301.51/x
  3. Step 3: Cross multiply
    312.04x = 430.68 × 301.51
  4. Step 4: Simplify right side
    312.04x = 129,854.33
  5. Step 5: Solve for x
    x = 129,854.33/312.04
  6. Step 6: Final answer
    x = 416.15

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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.