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Finding the Fourth Proportional to 576.01, 859.46 and 541

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Solution

The fourth proportional to 576.01, 859.46 and 541 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.01 : 859.46 = 541 : x
  2. Step 2: Convert to fraction form
    576.01/859.46 = 541/x
  3. Step 3: Cross multiply
    576.01x = 859.46 × 541
  4. Step 4: Simplify right side
    576.01x = 464,967.86
  5. Step 5: Solve for x
    x = 464,967.86/576.01
  6. Step 6: Final answer
    x = 807.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.