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Finding the Fourth Proportional to 538.19, 742.76 and 328.49

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Solution

The fourth proportional to 538.19, 742.76 and 328.49 is: 453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.19 : 742.76 = 328.49 : x
  2. Step 2: Convert to fraction form
    538.19/742.76 = 328.49/x
  3. Step 3: Cross multiply
    538.19x = 742.76 × 328.49
  4. Step 4: Simplify right side
    538.19x = 243,989.23
  5. Step 5: Solve for x
    x = 243,989.23/538.19
  6. Step 6: Final answer
    x = 453.35

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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.