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Finding the Fourth Proportional to 523.48, 722.10 and 355.72

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Solution

The fourth proportional to 523.48, 722.10 and 355.72 is: 490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.48 : 722.10 = 355.72 : x
  2. Step 2: Convert to fraction form
    523.48/722.10 = 355.72/x
  3. Step 3: Cross multiply
    523.48x = 722.10 × 355.72
  4. Step 4: Simplify right side
    523.48x = 256,865.41
  5. Step 5: Solve for x
    x = 256,865.41/523.48
  6. Step 6: Final answer
    x = 490.69

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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.