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Finding the Fourth Proportional to 512.79, 706.70 and 419.24

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Solution

The fourth proportional to 512.79, 706.70 and 419.24 is: 577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.79 : 706.70 = 419.24 : x
  2. Step 2: Convert to fraction form
    512.79/706.70 = 419.24/x
  3. Step 3: Cross multiply
    512.79x = 706.70 × 419.24
  4. Step 4: Simplify right side
    512.79x = 296,276.91
  5. Step 5: Solve for x
    x = 296,276.91/512.79
  6. Step 6: Final answer
    x = 577.77

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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.