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Finding the Fourth Proportional to 512.84, 707.61 and 355.23

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Solution

The fourth proportional to 512.84, 707.61 and 355.23 is: 490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 707.61 = 355.23 : x
  2. Step 2: Convert to fraction form
    512.84/707.61 = 355.23/x
  3. Step 3: Cross multiply
    512.84x = 707.61 × 355.23
  4. Step 4: Simplify right side
    512.84x = 251,364.30
  5. Step 5: Solve for x
    x = 251,364.30/512.84
  6. Step 6: Final answer
    x = 490.14

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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.