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Finding the Fourth Proportional to 543.05, 749.27 and 307.00

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Solution

The fourth proportional to 543.05, 749.27 and 307.00 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.05 : 749.27 = 307.00 : x
  2. Step 2: Convert to fraction form
    543.05/749.27 = 307.00/x
  3. Step 3: Cross multiply
    543.05x = 749.27 × 307.00
  4. Step 4: Simplify right side
    543.05x = 230,024.78
  5. Step 5: Solve for x
    x = 230,024.78/543.05
  6. Step 6: Final answer
    x = 423.58

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Why These Related Problems?

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