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Finding the Fourth Proportional to 614.22, 846.99 and 531.06

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Solution

The fourth proportional to 614.22, 846.99 and 531.06 is: 732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.22 : 846.99 = 531.06 : x
  2. Step 2: Convert to fraction form
    614.22/846.99 = 531.06/x
  3. Step 3: Cross multiply
    614.22x = 846.99 × 531.06
  4. Step 4: Simplify right side
    614.22x = 449,802.51
  5. Step 5: Solve for x
    x = 449,802.51/614.22
  6. Step 6: Final answer
    x = 732.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.