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Finding the Fourth Proportional to 543.81, 750.49 and 307.78

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Solution

The fourth proportional to 543.81, 750.49 and 307.78 is: 424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.81 : 750.49 = 307.78 : x
  2. Step 2: Convert to fraction form
    543.81/750.49 = 307.78/x
  3. Step 3: Cross multiply
    543.81x = 750.49 × 307.78
  4. Step 4: Simplify right side
    543.81x = 230,985.81
  5. Step 5: Solve for x
    x = 230,985.81/543.81
  6. Step 6: Final answer
    x = 424.76

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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.