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Finding the Fourth Proportional to 435.14, 649.53 and 377.77

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Solution

The fourth proportional to 435.14, 649.53 and 377.77 is: 563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.14 : 649.53 = 377.77 : x
  2. Step 2: Convert to fraction form
    435.14/649.53 = 377.77/x
  3. Step 3: Cross multiply
    435.14x = 649.53 × 377.77
  4. Step 4: Simplify right side
    435.14x = 245,372.95
  5. Step 5: Solve for x
    x = 245,372.95/435.14
  6. Step 6: Final answer
    x = 563.89

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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.