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Finding the Fourth Proportional to 575.79, 863.69 and 546.58

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Solution

The fourth proportional to 575.79, 863.69 and 546.58 is: 819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.79 : 863.69 = 546.58 : x
  2. Step 2: Convert to fraction form
    575.79/863.69 = 546.58/x
  3. Step 3: Cross multiply
    575.79x = 863.69 × 546.58
  4. Step 4: Simplify right side
    575.79x = 472,075.68
  5. Step 5: Solve for x
    x = 472,075.68/575.79
  6. Step 6: Final answer
    x = 819.87

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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.