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Finding the Fourth Proportional to 525.89, 789.74 and 467.46

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Solution

The fourth proportional to 525.89, 789.74 and 467.46 is: 702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.89 : 789.74 = 467.46 : x
  2. Step 2: Convert to fraction form
    525.89/789.74 = 467.46/x
  3. Step 3: Cross multiply
    525.89x = 789.74 × 467.46
  4. Step 4: Simplify right side
    525.89x = 369,169.52
  5. Step 5: Solve for x
    x = 369,169.52/525.89
  6. Step 6: Final answer
    x = 702.00

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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.