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Finding the Fourth Proportional to 412.11, 566.30 and 368.37

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Solution

The fourth proportional to 412.11, 566.30 and 368.37 is: 506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 566.30 = 368.37 : x
  2. Step 2: Convert to fraction form
    412.11/566.30 = 368.37/x
  3. Step 3: Cross multiply
    412.11x = 566.30 × 368.37
  4. Step 4: Simplify right side
    412.11x = 208,608.85
  5. Step 5: Solve for x
    x = 208,608.85/412.11
  6. Step 6: Final answer
    x = 506.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.