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Finding the Fourth Proportional to 540.38, 746.70 and 435.26

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Solution

The fourth proportional to 540.38, 746.70 and 435.26 is: 601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.38 : 746.70 = 435.26 : x
  2. Step 2: Convert to fraction form
    540.38/746.70 = 435.26/x
  3. Step 3: Cross multiply
    540.38x = 746.70 × 435.26
  4. Step 4: Simplify right side
    540.38x = 325,008.64
  5. Step 5: Solve for x
    x = 325,008.64/540.38
  6. Step 6: Final answer
    x = 601.44

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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.