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Finding the Fourth Proportional to 412.28, 569.12 and 369.08

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Solution

The fourth proportional to 412.28, 569.12 and 369.08 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.28 : 569.12 = 369.08 : x
  2. Step 2: Convert to fraction form
    412.28/569.12 = 369.08/x
  3. Step 3: Cross multiply
    412.28x = 569.12 × 369.08
  4. Step 4: Simplify right side
    412.28x = 210,050.81
  5. Step 5: Solve for x
    x = 210,050.81/412.28
  6. Step 6: Final answer
    x = 509.49

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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.