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Finding the Fourth Proportional to 597.51, 823.10 and 531.16

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Solution

The fourth proportional to 597.51, 823.10 and 531.16 is: 731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.51 : 823.10 = 531.16 : x
  2. Step 2: Convert to fraction form
    597.51/823.10 = 531.16/x
  3. Step 3: Cross multiply
    597.51x = 823.10 × 531.16
  4. Step 4: Simplify right side
    597.51x = 437,193.08
  5. Step 5: Solve for x
    x = 437,193.08/597.51
  6. Step 6: Final answer
    x = 731.69

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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.