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Finding the Fourth Proportional to 543.53, 750.06 and 294.84

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Solution

The fourth proportional to 543.53, 750.06 and 294.84 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.53 : 750.06 = 294.84 : x
  2. Step 2: Convert to fraction form
    543.53/750.06 = 294.84/x
  3. Step 3: Cross multiply
    543.53x = 750.06 × 294.84
  4. Step 4: Simplify right side
    543.53x = 221,147.69
  5. Step 5: Solve for x
    x = 221,147.69/543.53
  6. Step 6: Final answer
    x = 406.87

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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.