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Finding the Fourth Proportional to 525.06, 785.88 and 498.30

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Solution

The fourth proportional to 525.06, 785.88 and 498.30 is: 745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.06 : 785.88 = 498.30 : x
  2. Step 2: Convert to fraction form
    525.06/785.88 = 498.30/x
  3. Step 3: Cross multiply
    525.06x = 785.88 × 498.30
  4. Step 4: Simplify right side
    525.06x = 391,604.00
  5. Step 5: Solve for x
    x = 391,604.00/525.06
  6. Step 6: Final answer
    x = 745.83

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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.