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Finding the Fourth Proportional to 512.51, 707.31 and 302.75

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Solution

The fourth proportional to 512.51, 707.31 and 302.75 is: 417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.51 : 707.31 = 302.75 : x
  2. Step 2: Convert to fraction form
    512.51/707.31 = 302.75/x
  3. Step 3: Cross multiply
    512.51x = 707.31 × 302.75
  4. Step 4: Simplify right side
    512.51x = 214,138.10
  5. Step 5: Solve for x
    x = 214,138.10/512.51
  6. Step 6: Final answer
    x = 417.83

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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.