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Finding the Fourth Proportional to 538.04, 742.25 and 328.05

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Solution

The fourth proportional to 538.04, 742.25 and 328.05 is: 452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.04 : 742.25 = 328.05 : x
  2. Step 2: Convert to fraction form
    538.04/742.25 = 328.05/x
  3. Step 3: Cross multiply
    538.04x = 742.25 × 328.05
  4. Step 4: Simplify right side
    538.04x = 243,489.76
  5. Step 5: Solve for x
    x = 243,489.76/538.04
  6. Step 6: Final answer
    x = 452.55

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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.