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Finding the Fourth Proportional to 435.44, 652.29 and 204.01

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Solution

The fourth proportional to 435.44, 652.29 and 204.01 is: 305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.44 : 652.29 = 204.01 : x
  2. Step 2: Convert to fraction form
    435.44/652.29 = 204.01/x
  3. Step 3: Cross multiply
    435.44x = 652.29 × 204.01
  4. Step 4: Simplify right side
    435.44x = 133,071.29
  5. Step 5: Solve for x
    x = 133,071.29/435.44
  6. Step 6: Final answer
    x = 305.60

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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.