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Finding the Fourth Proportional to 364.07, 544.89 and 282.67

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Solution

The fourth proportional to 364.07, 544.89 and 282.67 is: 423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.07 : 544.89 = 282.67 : x
  2. Step 2: Convert to fraction form
    364.07/544.89 = 282.67/x
  3. Step 3: Cross multiply
    364.07x = 544.89 × 282.67
  4. Step 4: Simplify right side
    364.07x = 154,024.06
  5. Step 5: Solve for x
    x = 154,024.06/364.07
  6. Step 6: Final answer
    x = 423.06

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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.