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Finding the Fourth Proportional to 536.69, 740.42 and 340.34

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Solution

The fourth proportional to 536.69, 740.42 and 340.34 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.69 : 740.42 = 340.34 : x
  2. Step 2: Convert to fraction form
    536.69/740.42 = 340.34/x
  3. Step 3: Cross multiply
    536.69x = 740.42 × 340.34
  4. Step 4: Simplify right side
    536.69x = 251,989.14
  5. Step 5: Solve for x
    x = 251,989.14/536.69
  6. Step 6: Final answer
    x = 469.53

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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.