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Finding the Fourth Proportional to 525.95, 789.54 and 417.82

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Solution

The fourth proportional to 525.95, 789.54 and 417.82 is: 627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.95 : 789.54 = 417.82 : x
  2. Step 2: Convert to fraction form
    525.95/789.54 = 417.82/x
  3. Step 3: Cross multiply
    525.95x = 789.54 × 417.82
  4. Step 4: Simplify right side
    525.95x = 329,885.60
  5. Step 5: Solve for x
    x = 329,885.60/525.95
  6. Step 6: Final answer
    x = 627.22

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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.