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Finding the Fourth Proportional to 416.42, 573.54 and 311.16

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Solution

The fourth proportional to 416.42, 573.54 and 311.16 is: 428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.42 : 573.54 = 311.16 : x
  2. Step 2: Convert to fraction form
    416.42/573.54 = 311.16/x
  3. Step 3: Cross multiply
    416.42x = 573.54 × 311.16
  4. Step 4: Simplify right side
    416.42x = 178,462.71
  5. Step 5: Solve for x
    x = 178,462.71/416.42
  6. Step 6: Final answer
    x = 428.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.