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Finding the Fourth Proportional to 418.10, 574.66 and 368.69

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Solution

The fourth proportional to 418.10, 574.66 and 368.69 is: 506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.10 : 574.66 = 368.69 : x
  2. Step 2: Convert to fraction form
    418.10/574.66 = 368.69/x
  3. Step 3: Cross multiply
    418.10x = 574.66 × 368.69
  4. Step 4: Simplify right side
    418.10x = 211,871.40
  5. Step 5: Solve for x
    x = 211,871.40/418.10
  6. Step 6: Final answer
    x = 506.75

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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.