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Finding the Fourth Proportional to 623, 934.14 and 257.96

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Solution

The fourth proportional to 623, 934.14 and 257.96 is: 386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    623 : 934.14 = 257.96 : x
  2. Step 2: Convert to fraction form
    623/934.14 = 257.96/x
  3. Step 3: Cross multiply
    623x = 934.14 × 257.96
  4. Step 4: Simplify right side
    623x = 240,970.75
  5. Step 5: Solve for x
    x = 240,970.75/623
  6. Step 6: Final answer
    x = 386.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.