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Finding the Fourth Proportional to 504.58, 757.17 and 273.46

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Solution

The fourth proportional to 504.58, 757.17 and 273.46 is: 410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.58 : 757.17 = 273.46 : x
  2. Step 2: Convert to fraction form
    504.58/757.17 = 273.46/x
  3. Step 3: Cross multiply
    504.58x = 757.17 × 273.46
  4. Step 4: Simplify right side
    504.58x = 207,055.71
  5. Step 5: Solve for x
    x = 207,055.71/504.58
  6. Step 6: Final answer
    x = 410.35

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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.