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Finding the Fourth Proportional to 538.74, 743.08 and 434.06

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Solution

The fourth proportional to 538.74, 743.08 and 434.06 is: 598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.74 : 743.08 = 434.06 : x
  2. Step 2: Convert to fraction form
    538.74/743.08 = 434.06/x
  3. Step 3: Cross multiply
    538.74x = 743.08 × 434.06
  4. Step 4: Simplify right side
    538.74x = 322,541.30
  5. Step 5: Solve for x
    x = 322,541.30/538.74
  6. Step 6: Final answer
    x = 598.70

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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.