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Finding the Fourth Proportional to 581.90, 797.34 and 576.54

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Solution

The fourth proportional to 581.90, 797.34 and 576.54 is: 790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.90 : 797.34 = 576.54 : x
  2. Step 2: Convert to fraction form
    581.90/797.34 = 576.54/x
  3. Step 3: Cross multiply
    581.90x = 797.34 × 576.54
  4. Step 4: Simplify right side
    581.90x = 459,698.40
  5. Step 5: Solve for x
    x = 459,698.40/581.90
  6. Step 6: Final answer
    x = 790.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.