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Finding the Fourth Proportional to 597.60, 822.96 and 581.04

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Solution

The fourth proportional to 597.60, 822.96 and 581.04 is: 800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.60 : 822.96 = 581.04 : x
  2. Step 2: Convert to fraction form
    597.60/822.96 = 581.04/x
  3. Step 3: Cross multiply
    597.60x = 822.96 × 581.04
  4. Step 4: Simplify right side
    597.60x = 478,172.68
  5. Step 5: Solve for x
    x = 478,172.68/597.60
  6. Step 6: Final answer
    x = 800.16

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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.