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Finding the Fourth Proportional to 512.80, 707.63 and 302.96

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Solution

The fourth proportional to 512.80, 707.63 and 302.96 is: 418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 707.63 = 302.96 : x
  2. Step 2: Convert to fraction form
    512.80/707.63 = 302.96/x
  3. Step 3: Cross multiply
    512.80x = 707.63 × 302.96
  4. Step 4: Simplify right side
    512.80x = 214,386.11
  5. Step 5: Solve for x
    x = 214,386.11/512.80
  6. Step 6: Final answer
    x = 418.07

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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.