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Finding the Fourth Proportional to 596.35, 889.48 and 562.05

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Solution

The fourth proportional to 596.35, 889.48 and 562.05 is: 838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.35 : 889.48 = 562.05 : x
  2. Step 2: Convert to fraction form
    596.35/889.48 = 562.05/x
  3. Step 3: Cross multiply
    596.35x = 889.48 × 562.05
  4. Step 4: Simplify right side
    596.35x = 499,932.23
  5. Step 5: Solve for x
    x = 499,932.23/596.35
  6. Step 6: Final answer
    x = 838.32

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Why These Related Problems?

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