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Finding the Fourth Proportional to 364.06, 542.66 and 334.90

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Solution

The fourth proportional to 364.06, 542.66 and 334.90 is: 499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.06 : 542.66 = 334.90 : x
  2. Step 2: Convert to fraction form
    364.06/542.66 = 334.90/x
  3. Step 3: Cross multiply
    364.06x = 542.66 × 334.90
  4. Step 4: Simplify right side
    364.06x = 181,736.83
  5. Step 5: Solve for x
    x = 181,736.83/364.06
  6. Step 6: Final answer
    x = 499.19

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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.