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Finding the Fourth Proportional to 615.34, 848.34 and 596.23

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Solution

The fourth proportional to 615.34, 848.34 and 596.23 is: 821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.34 : 848.34 = 596.23 : x
  2. Step 2: Convert to fraction form
    615.34/848.34 = 596.23/x
  3. Step 3: Cross multiply
    615.34x = 848.34 × 596.23
  4. Step 4: Simplify right side
    615.34x = 505,805.76
  5. Step 5: Solve for x
    x = 505,805.76/615.34
  6. Step 6: Final answer
    x = 821.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.