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Finding the Fourth Proportional to 364.10, 502.47 and 233.01

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Solution

The fourth proportional to 364.10, 502.47 and 233.01 is: 321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.10 : 502.47 = 233.01 : x
  2. Step 2: Convert to fraction form
    364.10/502.47 = 233.01/x
  3. Step 3: Cross multiply
    364.10x = 502.47 × 233.01
  4. Step 4: Simplify right side
    364.10x = 117,080.53
  5. Step 5: Solve for x
    x = 117,080.53/364.10
  6. Step 6: Final answer
    x = 321.57

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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.