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Finding the Fourth Proportional to 623.37, 860.82 and 402.70

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Solution

The fourth proportional to 623.37, 860.82 and 402.70 is: 556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.37 : 860.82 = 402.70 : x
  2. Step 2: Convert to fraction form
    623.37/860.82 = 402.70/x
  3. Step 3: Cross multiply
    623.37x = 860.82 × 402.70
  4. Step 4: Simplify right side
    623.37x = 346,652.21
  5. Step 5: Solve for x
    x = 346,652.21/623.37
  6. Step 6: Final answer
    x = 556.09

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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.