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Finding the Fourth Proportional to 623.14, 859.91 and 402.14

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Solution

The fourth proportional to 623.14, 859.91 and 402.14 is: 554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.14 : 859.91 = 402.14 : x
  2. Step 2: Convert to fraction form
    623.14/859.91 = 402.14/x
  3. Step 3: Cross multiply
    623.14x = 859.91 × 402.14
  4. Step 4: Simplify right side
    623.14x = 345,804.21
  5. Step 5: Solve for x
    x = 345,804.21/623.14
  6. Step 6: Final answer
    x = 554.94

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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.