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Finding the Fourth Proportional to 634, 874.36 and 412.74

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Solution

The fourth proportional to 634, 874.36 and 412.74 is: 569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    634 : 874.36 = 412.74 : x
  2. Step 2: Convert to fraction form
    634/874.36 = 412.74/x
  3. Step 3: Cross multiply
    634x = 874.36 × 412.74
  4. Step 4: Simplify right side
    634x = 360,883.35
  5. Step 5: Solve for x
    x = 360,883.35/634
  6. Step 6: Final answer
    x = 569.22

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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.