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Finding the Fourth Proportional to 543.96, 750.67 and 295.28

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Solution

The fourth proportional to 543.96, 750.67 and 295.28 is: 407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 750.67 = 295.28 : x
  2. Step 2: Convert to fraction form
    543.96/750.67 = 295.28/x
  3. Step 3: Cross multiply
    543.96x = 750.67 × 295.28
  4. Step 4: Simplify right side
    543.96x = 221,658.86
  5. Step 5: Solve for x
    x = 221,658.86/543.96
  6. Step 6: Final answer
    x = 407.49

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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.