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Finding the Fourth Proportional to 623.74, 860.77 and 358.23

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Solution

The fourth proportional to 623.74, 860.77 and 358.23 is: 494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.74 : 860.77 = 358.23 : x
  2. Step 2: Convert to fraction form
    623.74/860.77 = 358.23/x
  3. Step 3: Cross multiply
    623.74x = 860.77 × 358.23
  4. Step 4: Simplify right side
    623.74x = 308,349.33
  5. Step 5: Solve for x
    x = 308,349.33/623.74
  6. Step 6: Final answer
    x = 494.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.