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Finding the Fourth Proportional to 928.79, 1,393.24 and 312.44

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Solution

The fourth proportional to 928.79, 1,393.24 and 312.44 is: 468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.79 : 1,393.24 = 312.44 : x
  2. Step 2: Convert to fraction form
    928.79/1,393.24 = 312.44/x
  3. Step 3: Cross multiply
    928.79x = 1,393.24 × 312.44
  4. Step 4: Simplify right side
    928.79x = 435,303.91
  5. Step 5: Solve for x
    x = 435,303.91/928.79
  6. Step 6: Final answer
    x = 468.68

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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.