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Finding the Fourth Proportional to 536.92, 740.86 and 304

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Solution

The fourth proportional to 536.92, 740.86 and 304 is: 419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.92 : 740.86 = 304 : x
  2. Step 2: Convert to fraction form
    536.92/740.86 = 304/x
  3. Step 3: Cross multiply
    536.92x = 740.86 × 304
  4. Step 4: Simplify right side
    536.92x = 225,221.44
  5. Step 5: Solve for x
    x = 225,221.44/536.92
  6. Step 6: Final answer
    x = 419.47

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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.