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Finding the Fourth Proportional to 360.51, 540.01 and 262.90

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Solution

The fourth proportional to 360.51, 540.01 and 262.90 is: 393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.51 : 540.01 = 262.90 : x
  2. Step 2: Convert to fraction form
    360.51/540.01 = 262.90/x
  3. Step 3: Cross multiply
    360.51x = 540.01 × 262.90
  4. Step 4: Simplify right side
    360.51x = 141,968.63
  5. Step 5: Solve for x
    x = 141,968.63/360.51
  6. Step 6: Final answer
    x = 393.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.