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Finding the Fourth Proportional to 397.08, 592.74 and 368.55

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Solution

The fourth proportional to 397.08, 592.74 and 368.55 is: 550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.08 : 592.74 = 368.55 : x
  2. Step 2: Convert to fraction form
    397.08/592.74 = 368.55/x
  3. Step 3: Cross multiply
    397.08x = 592.74 × 368.55
  4. Step 4: Simplify right side
    397.08x = 218,454.33
  5. Step 5: Solve for x
    x = 218,454.33/397.08
  6. Step 6: Final answer
    x = 550.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.