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Finding the Fourth Proportional to 435.38, 652.44 and 280.94

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Solution

The fourth proportional to 435.38, 652.44 and 280.94 is: 421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 652.44 = 280.94 : x
  2. Step 2: Convert to fraction form
    435.38/652.44 = 280.94/x
  3. Step 3: Cross multiply
    435.38x = 652.44 × 280.94
  4. Step 4: Simplify right side
    435.38x = 183,296.49
  5. Step 5: Solve for x
    x = 183,296.49/435.38
  6. Step 6: Final answer
    x = 421.00

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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.