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Finding the Fourth Proportional to 633.60, 874.07 and 412.47

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Solution

The fourth proportional to 633.60, 874.07 and 412.47 is: 569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.60 : 874.07 = 412.47 : x
  2. Step 2: Convert to fraction form
    633.60/874.07 = 412.47/x
  3. Step 3: Cross multiply
    633.60x = 874.07 × 412.47
  4. Step 4: Simplify right side
    633.60x = 360,525.59
  5. Step 5: Solve for x
    x = 360,525.59/633.60
  6. Step 6: Final answer
    x = 569.01

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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.