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Finding the Fourth Proportional to 675.83, 1,014.08 and 310.59

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Solution

The fourth proportional to 675.83, 1,014.08 and 310.59 is: 466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.83 : 1,014.08 = 310.59 : x
  2. Step 2: Convert to fraction form
    675.83/1,014.08 = 310.59/x
  3. Step 3: Cross multiply
    675.83x = 1,014.08 × 310.59
  4. Step 4: Simplify right side
    675.83x = 314,961.55
  5. Step 5: Solve for x
    x = 314,961.55/675.83
  6. Step 6: Final answer
    x = 466.04

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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.