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Finding the Fourth Proportional to 345.42, 477.32 and 283.22

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Solution

The fourth proportional to 345.42, 477.32 and 283.22 is: 391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.42 : 477.32 = 283.22 : x
  2. Step 2: Convert to fraction form
    345.42/477.32 = 283.22/x
  3. Step 3: Cross multiply
    345.42x = 477.32 × 283.22
  4. Step 4: Simplify right side
    345.42x = 135,186.57
  5. Step 5: Solve for x
    x = 135,186.57/345.42
  6. Step 6: Final answer
    x = 391.37

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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.