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Finding the Fourth Proportional to 597.71, 822.42 and 583.31

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Solution

The fourth proportional to 597.71, 822.42 and 583.31 is: 802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.71 : 822.42 = 583.31 : x
  2. Step 2: Convert to fraction form
    597.71/822.42 = 583.31/x
  3. Step 3: Cross multiply
    597.71x = 822.42 × 583.31
  4. Step 4: Simplify right side
    597.71x = 479,725.81
  5. Step 5: Solve for x
    x = 479,725.81/597.71
  6. Step 6: Final answer
    x = 802.61

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