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Finding the Fourth Proportional to 543.63, 750.33 and 319.67

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Solution

The fourth proportional to 543.63, 750.33 and 319.67 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.63 : 750.33 = 319.67 : x
  2. Step 2: Convert to fraction form
    543.63/750.33 = 319.67/x
  3. Step 3: Cross multiply
    543.63x = 750.33 × 319.67
  4. Step 4: Simplify right side
    543.63x = 239,854.24
  5. Step 5: Solve for x
    x = 239,854.24/543.63
  6. Step 6: Final answer
    x = 441.21

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