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Finding the Fourth Proportional to 420.42, 580.23 and 233.93

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Solution

The fourth proportional to 420.42, 580.23 and 233.93 is: 322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.42 : 580.23 = 233.93 : x
  2. Step 2: Convert to fraction form
    420.42/580.23 = 233.93/x
  3. Step 3: Cross multiply
    420.42x = 580.23 × 233.93
  4. Step 4: Simplify right side
    420.42x = 135,729.13
  5. Step 5: Solve for x
    x = 135,729.13/420.42
  6. Step 6: Final answer
    x = 322.84

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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.