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Finding the Fourth Proportional to 315.64, 470.48 and 312.92

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Solution

The fourth proportional to 315.64, 470.48 and 312.92 is: 466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.64 : 470.48 = 312.92 : x
  2. Step 2: Convert to fraction form
    315.64/470.48 = 312.92/x
  3. Step 3: Cross multiply
    315.64x = 470.48 × 312.92
  4. Step 4: Simplify right side
    315.64x = 147,222.60
  5. Step 5: Solve for x
    x = 147,222.60/315.64
  6. Step 6: Final answer
    x = 466.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.