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Finding the Fourth Proportional to 420.52, 630.07 and 212.01

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Solution

The fourth proportional to 420.52, 630.07 and 212.01 is: 317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.52 : 630.07 = 212.01 : x
  2. Step 2: Convert to fraction form
    420.52/630.07 = 212.01/x
  3. Step 3: Cross multiply
    420.52x = 630.07 × 212.01
  4. Step 4: Simplify right side
    420.52x = 133,577.99
  5. Step 5: Solve for x
    x = 133,577.99/420.52
  6. Step 6: Final answer
    x = 317.65

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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.