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Finding the Fourth Proportional to 600.30, 901.22 and 471.14

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Solution

The fourth proportional to 600.30, 901.22 and 471.14 is: 707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 901.22 = 471.14 : x
  2. Step 2: Convert to fraction form
    600.30/901.22 = 471.14/x
  3. Step 3: Cross multiply
    600.30x = 901.22 × 471.14
  4. Step 4: Simplify right side
    600.30x = 424,593.93
  5. Step 5: Solve for x
    x = 424,593.93/600.30
  6. Step 6: Final answer
    x = 707.30

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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.