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Finding the Fourth Proportional to 528.36, 793.14 and 412.93

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Solution

The fourth proportional to 528.36, 793.14 and 412.93 is: 619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.36 : 793.14 = 412.93 : x
  2. Step 2: Convert to fraction form
    528.36/793.14 = 412.93/x
  3. Step 3: Cross multiply
    528.36x = 793.14 × 412.93
  4. Step 4: Simplify right side
    528.36x = 327,511.30
  5. Step 5: Solve for x
    x = 327,511.30/528.36
  6. Step 6: Final answer
    x = 619.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.