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Finding the Fourth Proportional to 536.69, 740.32 and 339.86

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Solution

The fourth proportional to 536.69, 740.32 and 339.86 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.69 : 740.32 = 339.86 : x
  2. Step 2: Convert to fraction form
    536.69/740.32 = 339.86/x
  3. Step 3: Cross multiply
    536.69x = 740.32 × 339.86
  4. Step 4: Simplify right side
    536.69x = 251,606.16
  5. Step 5: Solve for x
    x = 251,606.16/536.69
  6. Step 6: Final answer
    x = 468.81

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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.