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Finding the Fourth Proportional to 543.96, 816.23 and 313.02

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Solution

The fourth proportional to 543.96, 816.23 and 313.02 is: 469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 816.23 = 313.02 : x
  2. Step 2: Convert to fraction form
    543.96/816.23 = 313.02/x
  3. Step 3: Cross multiply
    543.96x = 816.23 × 313.02
  4. Step 4: Simplify right side
    543.96x = 255,494.75
  5. Step 5: Solve for x
    x = 255,494.75/543.96
  6. Step 6: Final answer
    x = 469.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.