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Finding the Fourth Proportional to 512.03, 706.51 and 302.19

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Solution

The fourth proportional to 512.03, 706.51 and 302.19 is: 416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.03 : 706.51 = 302.19 : x
  2. Step 2: Convert to fraction form
    512.03/706.51 = 302.19/x
  3. Step 3: Cross multiply
    512.03x = 706.51 × 302.19
  4. Step 4: Simplify right side
    512.03x = 213,495.21
  5. Step 5: Solve for x
    x = 213,495.21/512.03
  6. Step 6: Final answer
    x = 416.96

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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.