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Finding the Fourth Proportional to 538.08, 742.62 and 314.12

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Solution

The fourth proportional to 538.08, 742.62 and 314.12 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.08 : 742.62 = 314.12 : x
  2. Step 2: Convert to fraction form
    538.08/742.62 = 314.12/x
  3. Step 3: Cross multiply
    538.08x = 742.62 × 314.12
  4. Step 4: Simplify right side
    538.08x = 233,271.79
  5. Step 5: Solve for x
    x = 233,271.79/538.08
  6. Step 6: Final answer
    x = 433.53

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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.