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Finding the Fourth Proportional to 512.19, 706.61 and 302.03

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Solution

The fourth proportional to 512.19, 706.61 and 302.03 is: 416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 706.61 = 302.03 : x
  2. Step 2: Convert to fraction form
    512.19/706.61 = 302.03/x
  3. Step 3: Cross multiply
    512.19x = 706.61 × 302.03
  4. Step 4: Simplify right side
    512.19x = 213,417.42
  5. Step 5: Solve for x
    x = 213,417.42/512.19
  6. Step 6: Final answer
    x = 416.68

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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.