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Finding the Fourth Proportional to 536.74, 740.64 and 300.67

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Solution

The fourth proportional to 536.74, 740.64 and 300.67 is: 414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.74 : 740.64 = 300.67 : x
  2. Step 2: Convert to fraction form
    536.74/740.64 = 300.67/x
  3. Step 3: Cross multiply
    536.74x = 740.64 × 300.67
  4. Step 4: Simplify right side
    536.74x = 222,688.23
  5. Step 5: Solve for x
    x = 222,688.23/536.74
  6. Step 6: Final answer
    x = 414.89

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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.