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Finding the Fourth Proportional to 633.88, 874.15 and 412.76

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Solution

The fourth proportional to 633.88, 874.15 and 412.76 is: 569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.88 : 874.15 = 412.76 : x
  2. Step 2: Convert to fraction form
    633.88/874.15 = 412.76/x
  3. Step 3: Cross multiply
    633.88x = 874.15 × 412.76
  4. Step 4: Simplify right side
    633.88x = 360,814.15
  5. Step 5: Solve for x
    x = 360,814.15/633.88
  6. Step 6: Final answer
    x = 569.22

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1.5x scale

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.