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Finding the Fourth Proportional to 596.82, 900.57 and 574.32

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Solution

The fourth proportional to 596.82, 900.57 and 574.32 is: 866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.82 : 900.57 = 574.32 : x
  2. Step 2: Convert to fraction form
    596.82/900.57 = 574.32/x
  3. Step 3: Cross multiply
    596.82x = 900.57 × 574.32
  4. Step 4: Simplify right side
    596.82x = 517,215.36
  5. Step 5: Solve for x
    x = 517,215.36/596.82
  6. Step 6: Final answer
    x = 866.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.