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Finding the Fourth Proportional to 525.12, 786.84 and 308.16

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Solution

The fourth proportional to 525.12, 786.84 and 308.16 is: 461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.12 : 786.84 = 308.16 : x
  2. Step 2: Convert to fraction form
    525.12/786.84 = 308.16/x
  3. Step 3: Cross multiply
    525.12x = 786.84 × 308.16
  4. Step 4: Simplify right side
    525.12x = 242,472.61
  5. Step 5: Solve for x
    x = 242,472.61/525.12
  6. Step 6: Final answer
    x = 461.75

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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.