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Finding the Fourth Proportional to 523.89, 722.89 and 314.06

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Solution

The fourth proportional to 523.89, 722.89 and 314.06 is: 433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.89 : 722.89 = 314.06 : x
  2. Step 2: Convert to fraction form
    523.89/722.89 = 314.06/x
  3. Step 3: Cross multiply
    523.89x = 722.89 × 314.06
  4. Step 4: Simplify right side
    523.89x = 227,030.83
  5. Step 5: Solve for x
    x = 227,030.83/523.89
  6. Step 6: Final answer
    x = 433.36

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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.