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Finding the Fourth Proportional to 665.51, 918.24 and 432.50

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Solution

The fourth proportional to 665.51, 918.24 and 432.50 is: 596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.51 : 918.24 = 432.50 : x
  2. Step 2: Convert to fraction form
    665.51/918.24 = 432.50/x
  3. Step 3: Cross multiply
    665.51x = 918.24 × 432.50
  4. Step 4: Simplify right side
    665.51x = 397,138.80
  5. Step 5: Solve for x
    x = 397,138.80/665.51
  6. Step 6: Final answer
    x = 596.74

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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.