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Finding the Fourth Proportional to 451.72, 623.08 and 320.50

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Solution

The fourth proportional to 451.72, 623.08 and 320.50 is: 442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.72 : 623.08 = 320.50 : x
  2. Step 2: Convert to fraction form
    451.72/623.08 = 320.50/x
  3. Step 3: Cross multiply
    451.72x = 623.08 × 320.50
  4. Step 4: Simplify right side
    451.72x = 199,695.54
  5. Step 5: Solve for x
    x = 199,695.54/451.72
  6. Step 6: Final answer
    x = 442.08

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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.