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Finding the Fourth Proportional to 579.60, 798.24 and 554.64

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Solution

The fourth proportional to 579.60, 798.24 and 554.64 is: 763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 798.24 = 554.64 : x
  2. Step 2: Convert to fraction form
    579.60/798.24 = 554.64/x
  3. Step 3: Cross multiply
    579.60x = 798.24 × 554.64
  4. Step 4: Simplify right side
    579.60x = 442,735.83
  5. Step 5: Solve for x
    x = 442,735.83/579.60
  6. Step 6: Final answer
    x = 763.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.