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Finding the Fourth Proportional to 543.96, 816.30 and 407.16

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Solution

The fourth proportional to 543.96, 816.30 and 407.16 is: 611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 816.30 = 407.16 : x
  2. Step 2: Convert to fraction form
    543.96/816.30 = 407.16/x
  3. Step 3: Cross multiply
    543.96x = 816.30 × 407.16
  4. Step 4: Simplify right side
    543.96x = 332,364.71
  5. Step 5: Solve for x
    x = 332,364.71/543.96
  6. Step 6: Final answer
    x = 611.01

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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.