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Finding the Fourth Proportional to 342.23, 471.62 and 253.53

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Solution

The fourth proportional to 342.23, 471.62 and 253.53 is: 349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.23 : 471.62 = 253.53 : x
  2. Step 2: Convert to fraction form
    342.23/471.62 = 253.53/x
  3. Step 3: Cross multiply
    342.23x = 471.62 × 253.53
  4. Step 4: Simplify right side
    342.23x = 119,570.45
  5. Step 5: Solve for x
    x = 119,570.45/342.23
  6. Step 6: Final answer
    x = 349.39

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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.