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Finding the Fourth Proportional to 536.22, 739.90 and 315.24

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Solution

The fourth proportional to 536.22, 739.90 and 315.24 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.22 : 739.90 = 315.24 : x
  2. Step 2: Convert to fraction form
    536.22/739.90 = 315.24/x
  3. Step 3: Cross multiply
    536.22x = 739.90 × 315.24
  4. Step 4: Simplify right side
    536.22x = 233,246.08
  5. Step 5: Solve for x
    x = 233,246.08/536.22
  6. Step 6: Final answer
    x = 434.98

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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.