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Finding the Fourth Proportional to 451.65, 678.17 and 432.93

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Solution

The fourth proportional to 451.65, 678.17 and 432.93 is: 650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.65 : 678.17 = 432.93 : x
  2. Step 2: Convert to fraction form
    451.65/678.17 = 432.93/x
  3. Step 3: Cross multiply
    451.65x = 678.17 × 432.93
  4. Step 4: Simplify right side
    451.65x = 293,600.14
  5. Step 5: Solve for x
    x = 293,600.14/451.65
  6. Step 6: Final answer
    x = 650.06

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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.