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Finding the Fourth Proportional to 523.60, 722.74 and 357.76

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Solution

The fourth proportional to 523.60, 722.74 and 357.76 is: 493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 722.74 = 357.76 : x
  2. Step 2: Convert to fraction form
    523.60/722.74 = 357.76/x
  3. Step 3: Cross multiply
    523.60x = 722.74 × 357.76
  4. Step 4: Simplify right side
    523.60x = 258,562.95
  5. Step 5: Solve for x
    x = 258,562.95/523.60
  6. Step 6: Final answer
    x = 493.82

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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.