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Finding the Fourth Proportional to 466.08, 698.88 and 312

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Solution

The fourth proportional to 466.08, 698.88 and 312 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.08 : 698.88 = 312 : x
  2. Step 2: Convert to fraction form
    466.08/698.88 = 312/x
  3. Step 3: Cross multiply
    466.08x = 698.88 × 312
  4. Step 4: Simplify right side
    466.08x = 218,050.56
  5. Step 5: Solve for x
    x = 218,050.56/466.08
  6. Step 6: Final answer
    x = 467.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.