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Finding the Fourth Proportional to 511.47, 705.98 and 406.74

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Solution

The fourth proportional to 511.47, 705.98 and 406.74 is: 561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.47 : 705.98 = 406.74 : x
  2. Step 2: Convert to fraction form
    511.47/705.98 = 406.74/x
  3. Step 3: Cross multiply
    511.47x = 705.98 × 406.74
  4. Step 4: Simplify right side
    511.47x = 287,148.27
  5. Step 5: Solve for x
    x = 287,148.27/511.47
  6. Step 6: Final answer
    x = 561.42

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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.