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Finding the Fourth Proportional to 596.21, 898.07 and 559.76

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Solution

The fourth proportional to 596.21, 898.07 and 559.76 is: 843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.21 : 898.07 = 559.76 : x
  2. Step 2: Convert to fraction form
    596.21/898.07 = 559.76/x
  3. Step 3: Cross multiply
    596.21x = 898.07 × 559.76
  4. Step 4: Simplify right side
    596.21x = 502,696.37
  5. Step 5: Solve for x
    x = 502,696.37/596.21
  6. Step 6: Final answer
    x = 843.16

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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.