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Finding the Fourth Proportional to 512, 706.61 and 302.24

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Solution

The fourth proportional to 512, 706.61 and 302.24 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 706.61 = 302.24 : x
  2. Step 2: Convert to fraction form
    512/706.61 = 302.24/x
  3. Step 3: Cross multiply
    512x = 706.61 × 302.24
  4. Step 4: Simplify right side
    512x = 213,565.81
  5. Step 5: Solve for x
    x = 213,565.81/512
  6. Step 6: Final answer
    x = 417.12

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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.