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Finding the Fourth Proportional to 596.37, 896.10 and 559.47

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Solution

The fourth proportional to 596.37, 896.10 and 559.47 is: 840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.37 : 896.10 = 559.47 : x
  2. Step 2: Convert to fraction form
    596.37/896.10 = 559.47/x
  3. Step 3: Cross multiply
    596.37x = 896.10 × 559.47
  4. Step 4: Simplify right side
    596.37x = 501,341.07
  5. Step 5: Solve for x
    x = 501,341.07/596.37
  6. Step 6: Final answer
    x = 840.65

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Why These Related Problems?

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