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Finding the Fourth Proportional to 543.04, 749.50 and 319.01

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Solution

The fourth proportional to 543.04, 749.50 and 319.01 is: 440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.04 : 749.50 = 319.01 : x
  2. Step 2: Convert to fraction form
    543.04/749.50 = 319.01/x
  3. Step 3: Cross multiply
    543.04x = 749.50 × 319.01
  4. Step 4: Simplify right side
    543.04x = 239,093.45
  5. Step 5: Solve for x
    x = 239,093.45/543.04
  6. Step 6: Final answer
    x = 440.29

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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.