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Finding the Fourth Proportional to 596.77, 823.56 and 417.35

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Solution

The fourth proportional to 596.77, 823.56 and 417.35 is: 575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.77 : 823.56 = 417.35 : x
  2. Step 2: Convert to fraction form
    596.77/823.56 = 417.35/x
  3. Step 3: Cross multiply
    596.77x = 823.56 × 417.35
  4. Step 4: Simplify right side
    596.77x = 343,712.77
  5. Step 5: Solve for x
    x = 343,712.77/596.77
  6. Step 6: Final answer
    x = 575.96

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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.