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Finding the Fourth Proportional to 536.77, 740.71 and 300.75

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Solution

The fourth proportional to 536.77, 740.71 and 300.75 is: 415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.77 : 740.71 = 300.75 : x
  2. Step 2: Convert to fraction form
    536.77/740.71 = 300.75/x
  3. Step 3: Cross multiply
    536.77x = 740.71 × 300.75
  4. Step 4: Simplify right side
    536.77x = 222,768.53
  5. Step 5: Solve for x
    x = 222,768.53/536.77
  6. Step 6: Final answer
    x = 415.02

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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.