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Finding the Fourth Proportional to 581.76, 801 and 494.16

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Solution

The fourth proportional to 581.76, 801 and 494.16 is: 680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 801 = 494.16 : x
  2. Step 2: Convert to fraction form
    581.76/801 = 494.16/x
  3. Step 3: Cross multiply
    581.76x = 801 × 494.16
  4. Step 4: Simplify right side
    581.76x = 395,822.16
  5. Step 5: Solve for x
    x = 395,822.16/581.76
  6. Step 6: Final answer
    x = 680.39

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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.