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Finding the Fourth Proportional to 502.84, 752.25 and 435.09

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Solution

The fourth proportional to 502.84, 752.25 and 435.09 is: 650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 752.25 = 435.09 : x
  2. Step 2: Convert to fraction form
    502.84/752.25 = 435.09/x
  3. Step 3: Cross multiply
    502.84x = 752.25 × 435.09
  4. Step 4: Simplify right side
    502.84x = 327,296.45
  5. Step 5: Solve for x
    x = 327,296.45/502.84
  6. Step 6: Final answer
    x = 650.90

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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.