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Finding the Fourth Proportional to 459.22, 687.23 and 432.57

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Solution

The fourth proportional to 459.22, 687.23 and 432.57 is: 647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.22 : 687.23 = 432.57 : x
  2. Step 2: Convert to fraction form
    459.22/687.23 = 432.57/x
  3. Step 3: Cross multiply
    459.22x = 687.23 × 432.57
  4. Step 4: Simplify right side
    459.22x = 297,272.92
  5. Step 5: Solve for x
    x = 297,272.92/459.22
  6. Step 6: Final answer
    x = 647.34

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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.