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Finding the Fourth Proportional to 468.63, 703.22 and 451.89

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Solution

The fourth proportional to 468.63, 703.22 and 451.89 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.63 : 703.22 = 451.89 : x
  2. Step 2: Convert to fraction form
    468.63/703.22 = 451.89/x
  3. Step 3: Cross multiply
    468.63x = 703.22 × 451.89
  4. Step 4: Simplify right side
    468.63x = 317,775.83
  5. Step 5: Solve for x
    x = 317,775.83/468.63
  6. Step 6: Final answer
    x = 678.10

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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.