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Finding the Fourth Proportional to 596.90, 891.71 and 475.31

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Solution

The fourth proportional to 596.90, 891.71 and 475.31 is: 710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.90 : 891.71 = 475.31 : x
  2. Step 2: Convert to fraction form
    596.90/891.71 = 475.31/x
  3. Step 3: Cross multiply
    596.90x = 891.71 × 475.31
  4. Step 4: Simplify right side
    596.90x = 423,831.85
  5. Step 5: Solve for x
    x = 423,831.85/596.90
  6. Step 6: Final answer
    x = 710.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.