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Finding the Fourth Proportional to 460.47, 690.71 and 216.86

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Solution

The fourth proportional to 460.47, 690.71 and 216.86 is: 325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 690.71 = 216.86 : x
  2. Step 2: Convert to fraction form
    460.47/690.71 = 216.86/x
  3. Step 3: Cross multiply
    460.47x = 690.71 × 216.86
  4. Step 4: Simplify right side
    460.47x = 149,782.83
  5. Step 5: Solve for x
    x = 149,782.83/460.47
  6. Step 6: Final answer
    x = 325.28

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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.