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Finding the Fourth Proportional to 525.02, 785.32 and 466.49

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Solution

The fourth proportional to 525.02, 785.32 and 466.49 is: 697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.02 : 785.32 = 466.49 : x
  2. Step 2: Convert to fraction form
    525.02/785.32 = 466.49/x
  3. Step 3: Cross multiply
    525.02x = 785.32 × 466.49
  4. Step 4: Simplify right side
    525.02x = 366,344.72
  5. Step 5: Solve for x
    x = 366,344.72/525.02
  6. Step 6: Final answer
    x = 697.78

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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.