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Finding the Fourth Proportional to 543.99, 816.00 and 312.71

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Solution

The fourth proportional to 543.99, 816.00 and 312.71 is: 469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.99 : 816.00 = 312.71 : x
  2. Step 2: Convert to fraction form
    543.99/816.00 = 312.71/x
  3. Step 3: Cross multiply
    543.99x = 816.00 × 312.71
  4. Step 4: Simplify right side
    543.99x = 255,169.80
  5. Step 5: Solve for x
    x = 255,169.80/543.99
  6. Step 6: Final answer
    x = 469.07

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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.