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Finding the Fourth Proportional to 315.93, 471.18 and 310.16

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Solution

The fourth proportional to 315.93, 471.18 and 310.16 is: 462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 471.18 = 310.16 : x
  2. Step 2: Convert to fraction form
    315.93/471.18 = 310.16/x
  3. Step 3: Cross multiply
    315.93x = 471.18 × 310.16
  4. Step 4: Simplify right side
    315.93x = 146,138.83
  5. Step 5: Solve for x
    x = 146,138.83/315.93
  6. Step 6: Final answer
    x = 462.57

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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.