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Finding the Fourth Proportional to 387.60, 578.16 and 361.38

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Solution

The fourth proportional to 387.60, 578.16 and 361.38 is: 539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.60 : 578.16 = 361.38 : x
  2. Step 2: Convert to fraction form
    387.60/578.16 = 361.38/x
  3. Step 3: Cross multiply
    387.60x = 578.16 × 361.38
  4. Step 4: Simplify right side
    387.60x = 208,935.46
  5. Step 5: Solve for x
    x = 208,935.46/387.60
  6. Step 6: Final answer
    x = 539.05

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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.