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Finding the Fourth Proportional to 536.16, 739.98 and 339.69

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Solution

The fourth proportional to 536.16, 739.98 and 339.69 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.16 : 739.98 = 339.69 : x
  2. Step 2: Convert to fraction form
    536.16/739.98 = 339.69/x
  3. Step 3: Cross multiply
    536.16x = 739.98 × 339.69
  4. Step 4: Simplify right side
    536.16x = 251,363.81
  5. Step 5: Solve for x
    x = 251,363.81/536.16
  6. Step 6: Final answer
    x = 468.82

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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.