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Finding the Fourth Proportional to 623.23, 932.72 and 468.79

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Solution

The fourth proportional to 623.23, 932.72 and 468.79 is: 701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.23 : 932.72 = 468.79 : x
  2. Step 2: Convert to fraction form
    623.23/932.72 = 468.79/x
  3. Step 3: Cross multiply
    623.23x = 932.72 × 468.79
  4. Step 4: Simplify right side
    623.23x = 437,245.13
  5. Step 5: Solve for x
    x = 437,245.13/623.23
  6. Step 6: Final answer
    x = 701.58

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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.