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Finding the Fourth Proportional to 313.42, 470.44 and 256.30

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Solution

The fourth proportional to 313.42, 470.44 and 256.30 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 470.44 = 256.30 : x
  2. Step 2: Convert to fraction form
    313.42/470.44 = 256.30/x
  3. Step 3: Cross multiply
    313.42x = 470.44 × 256.30
  4. Step 4: Simplify right side
    313.42x = 120,573.77
  5. Step 5: Solve for x
    x = 120,573.77/313.42
  6. Step 6: Final answer
    x = 384.70

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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.