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Finding the Fourth Proportional to 364.37, 542.74 and 333.70

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Solution

The fourth proportional to 364.37, 542.74 and 333.70 is: 497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.37 : 542.74 = 333.70 : x
  2. Step 2: Convert to fraction form
    364.37/542.74 = 333.70/x
  3. Step 3: Cross multiply
    364.37x = 542.74 × 333.70
  4. Step 4: Simplify right side
    364.37x = 181,112.34
  5. Step 5: Solve for x
    x = 181,112.34/364.37
  6. Step 6: Final answer
    x = 497.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.