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Finding the Fourth Proportional to 543.92, 750.73 and 347.40

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Solution

The fourth proportional to 543.92, 750.73 and 347.40 is: 479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 750.73 = 347.40 : x
  2. Step 2: Convert to fraction form
    543.92/750.73 = 347.40/x
  3. Step 3: Cross multiply
    543.92x = 750.73 × 347.40
  4. Step 4: Simplify right side
    543.92x = 260,802.73
  5. Step 5: Solve for x
    x = 260,802.73/543.92
  6. Step 6: Final answer
    x = 479.49

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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.