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Finding the Fourth Proportional to 521.66, 786.03 and 432.36

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Solution

The fourth proportional to 521.66, 786.03 and 432.36 is: 651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.66 : 786.03 = 432.36 : x
  2. Step 2: Convert to fraction form
    521.66/786.03 = 432.36/x
  3. Step 3: Cross multiply
    521.66x = 786.03 × 432.36
  4. Step 4: Simplify right side
    521.66x = 339,847.93
  5. Step 5: Solve for x
    x = 339,847.93/521.66
  6. Step 6: Final answer
    x = 651.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.