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Finding the Fourth Proportional to 543.69, 750.11 and 307.61

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Solution

The fourth proportional to 543.69, 750.11 and 307.61 is: 424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.69 : 750.11 = 307.61 : x
  2. Step 2: Convert to fraction form
    543.69/750.11 = 307.61/x
  3. Step 3: Cross multiply
    543.69x = 750.11 × 307.61
  4. Step 4: Simplify right side
    543.69x = 230,741.34
  5. Step 5: Solve for x
    x = 230,741.34/543.69
  6. Step 6: Final answer
    x = 424.40

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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.