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Finding the Fourth Proportional to 512.35, 707.17 and 316.02

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Solution

The fourth proportional to 512.35, 707.17 and 316.02 is: 436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.35 : 707.17 = 316.02 : x
  2. Step 2: Convert to fraction form
    512.35/707.17 = 316.02/x
  3. Step 3: Cross multiply
    512.35x = 707.17 × 316.02
  4. Step 4: Simplify right side
    512.35x = 223,479.86
  5. Step 5: Solve for x
    x = 223,479.86/512.35
  6. Step 6: Final answer
    x = 436.19

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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.