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Finding the Fourth Proportional to 525.03, 785.93 and 280.95

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Solution

The fourth proportional to 525.03, 785.93 and 280.95 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.03 : 785.93 = 280.95 : x
  2. Step 2: Convert to fraction form
    525.03/785.93 = 280.95/x
  3. Step 3: Cross multiply
    525.03x = 785.93 × 280.95
  4. Step 4: Simplify right side
    525.03x = 220,805.63
  5. Step 5: Solve for x
    x = 220,805.63/525.03
  6. Step 6: Final answer
    x = 420.56

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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.