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Finding the Fourth Proportional to 525.93, 789.57 and 404.28

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Solution

The fourth proportional to 525.93, 789.57 and 404.28 is: 606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.93 : 789.57 = 404.28 : x
  2. Step 2: Convert to fraction form
    525.93/789.57 = 404.28/x
  3. Step 3: Cross multiply
    525.93x = 789.57 × 404.28
  4. Step 4: Simplify right side
    525.93x = 319,207.36
  5. Step 5: Solve for x
    x = 319,207.36/525.93
  6. Step 6: Final answer
    x = 606.94

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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.