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Finding the Fourth Proportional to 412.38, 569.04 and 255.24

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Solution

The fourth proportional to 412.38, 569.04 and 255.24 is: 352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 569.04 = 255.24 : x
  2. Step 2: Convert to fraction form
    412.38/569.04 = 255.24/x
  3. Step 3: Cross multiply
    412.38x = 569.04 × 255.24
  4. Step 4: Simplify right side
    412.38x = 145,241.77
  5. Step 5: Solve for x
    x = 145,241.77/412.38
  6. Step 6: Final answer
    x = 352.20

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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.