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Finding the Fourth Proportional to 621.82, 858.45 and 435.88

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Solution

The fourth proportional to 621.82, 858.45 and 435.88 is: 601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.82 : 858.45 = 435.88 : x
  2. Step 2: Convert to fraction form
    621.82/858.45 = 435.88/x
  3. Step 3: Cross multiply
    621.82x = 858.45 × 435.88
  4. Step 4: Simplify right side
    621.82x = 374,181.19
  5. Step 5: Solve for x
    x = 374,181.19/621.82
  6. Step 6: Final answer
    x = 601.75

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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.