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Finding the Fourth Proportional to 538.11, 742.58 and 302.06

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Solution

The fourth proportional to 538.11, 742.58 and 302.06 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.11 : 742.58 = 302.06 : x
  2. Step 2: Convert to fraction form
    538.11/742.58 = 302.06/x
  3. Step 3: Cross multiply
    538.11x = 742.58 × 302.06
  4. Step 4: Simplify right side
    538.11x = 224,306.89
  5. Step 5: Solve for x
    x = 224,306.89/538.11
  6. Step 6: Final answer
    x = 416.84

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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.