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Finding the Fourth Proportional to 623.04, 932.64 and 493.44

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Solution

The fourth proportional to 623.04, 932.64 and 493.44 is: 738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.04 : 932.64 = 493.44 : x
  2. Step 2: Convert to fraction form
    623.04/932.64 = 493.44/x
  3. Step 3: Cross multiply
    623.04x = 932.64 × 493.44
  4. Step 4: Simplify right side
    623.04x = 460,201.88
  5. Step 5: Solve for x
    x = 460,201.88/623.04
  6. Step 6: Final answer
    x = 738.64

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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.