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Finding the Fourth Proportional to 536.94, 741.02 and 304.07

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Solution

The fourth proportional to 536.94, 741.02 and 304.07 is: 419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.94 : 741.02 = 304.07 : x
  2. Step 2: Convert to fraction form
    536.94/741.02 = 304.07/x
  3. Step 3: Cross multiply
    536.94x = 741.02 × 304.07
  4. Step 4: Simplify right side
    536.94x = 225,316.73
  5. Step 5: Solve for x
    x = 225,316.73/536.94
  6. Step 6: Final answer
    x = 419.63

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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.