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Finding the Fourth Proportional to 536.51, 740.39 and 300.47

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Solution

The fourth proportional to 536.51, 740.39 and 300.47 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.51 : 740.39 = 300.47 : x
  2. Step 2: Convert to fraction form
    536.51/740.39 = 300.47/x
  3. Step 3: Cross multiply
    536.51x = 740.39 × 300.47
  4. Step 4: Simplify right side
    536.51x = 222,459.78
  5. Step 5: Solve for x
    x = 222,459.78/536.51
  6. Step 6: Final answer
    x = 414.65

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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.