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Finding the Fourth Proportional to 595.66, 821.20 and 418.38

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Solution

The fourth proportional to 595.66, 821.20 and 418.38 is: 576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.66 : 821.20 = 418.38 : x
  2. Step 2: Convert to fraction form
    595.66/821.20 = 418.38/x
  3. Step 3: Cross multiply
    595.66x = 821.20 × 418.38
  4. Step 4: Simplify right side
    595.66x = 343,573.66
  5. Step 5: Solve for x
    x = 343,573.66/595.66
  6. Step 6: Final answer
    x = 576.79

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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.