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Finding the Fourth Proportional to 427.10, 640.74 and 358.30

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Solution

The fourth proportional to 427.10, 640.74 and 358.30 is: 537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.10 : 640.74 = 358.30 : x
  2. Step 2: Convert to fraction form
    427.10/640.74 = 358.30/x
  3. Step 3: Cross multiply
    427.10x = 640.74 × 358.30
  4. Step 4: Simplify right side
    427.10x = 229,577.14
  5. Step 5: Solve for x
    x = 229,577.14/427.10
  6. Step 6: Final answer
    x = 537.53

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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.