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Finding the Fourth Proportional to 377.76, 563.12 and 357.24

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Solution

The fourth proportional to 377.76, 563.12 and 357.24 is: 532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.76 : 563.12 = 357.24 : x
  2. Step 2: Convert to fraction form
    377.76/563.12 = 357.24/x
  3. Step 3: Cross multiply
    377.76x = 563.12 × 357.24
  4. Step 4: Simplify right side
    377.76x = 201,168.54
  5. Step 5: Solve for x
    x = 201,168.54/377.76
  6. Step 6: Final answer
    x = 532.53

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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.