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Finding the Fourth Proportional to 377.74, 563.74 and 368.02

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Solution

The fourth proportional to 377.74, 563.74 and 368.02 is: 549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.74 : 563.74 = 368.02 : x
  2. Step 2: Convert to fraction form
    377.74/563.74 = 368.02/x
  3. Step 3: Cross multiply
    377.74x = 563.74 × 368.02
  4. Step 4: Simplify right side
    377.74x = 207,467.59
  5. Step 5: Solve for x
    x = 207,467.59/377.74
  6. Step 6: Final answer
    x = 549.23

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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.