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Finding the Fourth Proportional to 344.45, 474.71 and 322.53

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Solution

The fourth proportional to 344.45, 474.71 and 322.53 is: 444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.45 : 474.71 = 322.53 : x
  2. Step 2: Convert to fraction form
    344.45/474.71 = 322.53/x
  3. Step 3: Cross multiply
    344.45x = 474.71 × 322.53
  4. Step 4: Simplify right side
    344.45x = 153,109.31
  5. Step 5: Solve for x
    x = 153,109.31/344.45
  6. Step 6: Final answer
    x = 444.50

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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.