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Finding the Fourth Proportional to 435.37, 652.95 and 204.04

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Solution

The fourth proportional to 435.37, 652.95 and 204.04 is: 306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.37 : 652.95 = 204.04 : x
  2. Step 2: Convert to fraction form
    435.37/652.95 = 204.04/x
  3. Step 3: Cross multiply
    435.37x = 652.95 × 204.04
  4. Step 4: Simplify right side
    435.37x = 133,226.29
  5. Step 5: Solve for x
    x = 133,226.29/435.37
  6. Step 6: Final answer
    x = 306.01

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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.