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Finding the Fourth Proportional to 597.46, 822.08 and 583.06

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Solution

The fourth proportional to 597.46, 822.08 and 583.06 is: 802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.46 : 822.08 = 583.06 : x
  2. Step 2: Convert to fraction form
    597.46/822.08 = 583.06/x
  3. Step 3: Cross multiply
    597.46x = 822.08 × 583.06
  4. Step 4: Simplify right side
    597.46x = 479,321.96
  5. Step 5: Solve for x
    x = 479,321.96/597.46
  6. Step 6: Final answer
    x = 802.27

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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.