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Finding the Fourth Proportional to 543.34, 749.82 and 307.30

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Solution

The fourth proportional to 543.34, 749.82 and 307.30 is: 424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.34 : 749.82 = 307.30 : x
  2. Step 2: Convert to fraction form
    543.34/749.82 = 307.30/x
  3. Step 3: Cross multiply
    543.34x = 749.82 × 307.30
  4. Step 4: Simplify right side
    543.34x = 230,419.69
  5. Step 5: Solve for x
    x = 230,419.69/543.34
  6. Step 6: Final answer
    x = 424.08

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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.