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Finding the Fourth Proportional to 512.04, 706.86 and 302.14

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Solution

The fourth proportional to 512.04, 706.86 and 302.14 is: 417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.04 : 706.86 = 302.14 : x
  2. Step 2: Convert to fraction form
    512.04/706.86 = 302.14/x
  3. Step 3: Cross multiply
    512.04x = 706.86 × 302.14
  4. Step 4: Simplify right side
    512.04x = 213,570.68
  5. Step 5: Solve for x
    x = 213,570.68/512.04
  6. Step 6: Final answer
    x = 417.10

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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.