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Finding the Fourth Proportional to 504.13, 756.30 and 273.01

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Solution

The fourth proportional to 504.13, 756.30 and 273.01 is: 409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.13 : 756.30 = 273.01 : x
  2. Step 2: Convert to fraction form
    504.13/756.30 = 273.01/x
  3. Step 3: Cross multiply
    504.13x = 756.30 × 273.01
  4. Step 4: Simplify right side
    504.13x = 206,477.46
  5. Step 5: Solve for x
    x = 206,477.46/504.13
  6. Step 6: Final answer
    x = 409.57

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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.