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Finding the Fourth Proportional to 320.46, 479.93 and 313.93

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Solution

The fourth proportional to 320.46, 479.93 and 313.93 is: 470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.46 : 479.93 = 313.93 : x
  2. Step 2: Convert to fraction form
    320.46/479.93 = 313.93/x
  3. Step 3: Cross multiply
    320.46x = 479.93 × 313.93
  4. Step 4: Simplify right side
    320.46x = 150,660.76
  5. Step 5: Solve for x
    x = 150,660.76/320.46
  6. Step 6: Final answer
    x = 470.14

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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.