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Finding the Fourth Proportional to 315.94, 473.84 and 96.53

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Solution

The fourth proportional to 315.94, 473.84 and 96.53 is: 144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.94 : 473.84 = 96.53 : x
  2. Step 2: Convert to fraction form
    315.94/473.84 = 96.53/x
  3. Step 3: Cross multiply
    315.94x = 473.84 × 96.53
  4. Step 4: Simplify right side
    315.94x = 45,737.65
  5. Step 5: Solve for x
    x = 45,737.65/315.94
  6. Step 6: Final answer
    x = 144.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.