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Finding the Fourth Proportional to 543.60, 816.35 and 296.69

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Solution

The fourth proportional to 543.60, 816.35 and 296.69 is: 445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 816.35 = 296.69 : x
  2. Step 2: Convert to fraction form
    543.60/816.35 = 296.69/x
  3. Step 3: Cross multiply
    543.60x = 816.35 × 296.69
  4. Step 4: Simplify right side
    543.60x = 242,197.32
  5. Step 5: Solve for x
    x = 242,197.32/543.60
  6. Step 6: Final answer
    x = 445.54

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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.