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Finding the Fourth Proportional to 342.18, 513.27 and 285.06

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Solution

The fourth proportional to 342.18, 513.27 and 285.06 is: 427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.18 : 513.27 = 285.06 : x
  2. Step 2: Convert to fraction form
    342.18/513.27 = 285.06/x
  3. Step 3: Cross multiply
    342.18x = 513.27 × 285.06
  4. Step 4: Simplify right side
    342.18x = 146,312.75
  5. Step 5: Solve for x
    x = 146,312.75/342.18
  6. Step 6: Final answer
    x = 427.59

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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.