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Finding the Fourth Proportional to 538.74, 742.64 and 373.10

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Solution

The fourth proportional to 538.74, 742.64 and 373.10 is: 514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.74 : 742.64 = 373.10 : x
  2. Step 2: Convert to fraction form
    538.74/742.64 = 373.10/x
  3. Step 3: Cross multiply
    538.74x = 742.64 × 373.10
  4. Step 4: Simplify right side
    538.74x = 277,073.41
  5. Step 5: Solve for x
    x = 277,073.41/538.74
  6. Step 6: Final answer
    x = 514.30

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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.