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Finding the Fourth Proportional to 523.31, 722.07 and 313.58

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Solution

The fourth proportional to 523.31, 722.07 and 313.58 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.31 : 722.07 = 313.58 : x
  2. Step 2: Convert to fraction form
    523.31/722.07 = 313.58/x
  3. Step 3: Cross multiply
    523.31x = 722.07 × 313.58
  4. Step 4: Simplify right side
    523.31x = 226,423.10
  5. Step 5: Solve for x
    x = 226,423.10/523.31
  6. Step 6: Final answer
    x = 432.68

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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.