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Finding the Fourth Proportional to 512.08, 706.64 and 302.24

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Solution

The fourth proportional to 512.08, 706.64 and 302.24 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.08 : 706.64 = 302.24 : x
  2. Step 2: Convert to fraction form
    512.08/706.64 = 302.24/x
  3. Step 3: Cross multiply
    512.08x = 706.64 × 302.24
  4. Step 4: Simplify right side
    512.08x = 213,574.87
  5. Step 5: Solve for x
    x = 213,574.87/512.08
  6. Step 6: Final answer
    x = 417.07

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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.