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Finding the Fourth Proportional to 386.64, 575.10 and 367.20

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Solution

The fourth proportional to 386.64, 575.10 and 367.20 is: 546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 575.10 = 367.20 : x
  2. Step 2: Convert to fraction form
    386.64/575.10 = 367.20/x
  3. Step 3: Cross multiply
    386.64x = 575.10 × 367.20
  4. Step 4: Simplify right side
    386.64x = 211,176.72
  5. Step 5: Solve for x
    x = 211,176.72/386.64
  6. Step 6: Final answer
    x = 546.18

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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.