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Finding the Fourth Proportional to 597.65, 897.31 and 474.33

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Solution

The fourth proportional to 597.65, 897.31 and 474.33 is: 712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.65 : 897.31 = 474.33 : x
  2. Step 2: Convert to fraction form
    597.65/897.31 = 474.33/x
  3. Step 3: Cross multiply
    597.65x = 897.31 × 474.33
  4. Step 4: Simplify right side
    597.65x = 425,621.05
  5. Step 5: Solve for x
    x = 425,621.05/597.65
  6. Step 6: Final answer
    x = 712.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.