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Finding the Fourth Proportional to 377.64, 567.81 and 364.68

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Solution

The fourth proportional to 377.64, 567.81 and 364.68 is: 548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.64 : 567.81 = 364.68 : x
  2. Step 2: Convert to fraction form
    377.64/567.81 = 364.68/x
  3. Step 3: Cross multiply
    377.64x = 567.81 × 364.68
  4. Step 4: Simplify right side
    377.64x = 207,068.95
  5. Step 5: Solve for x
    x = 207,068.95/377.64
  6. Step 6: Final answer
    x = 548.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.