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Finding the Fourth Proportional to 460.64, 691.24 and 172.08

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Solution

The fourth proportional to 460.64, 691.24 and 172.08 is: 258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.64 : 691.24 = 172.08 : x
  2. Step 2: Convert to fraction form
    460.64/691.24 = 172.08/x
  3. Step 3: Cross multiply
    460.64x = 691.24 × 172.08
  4. Step 4: Simplify right side
    460.64x = 118,948.58
  5. Step 5: Solve for x
    x = 118,948.58/460.64
  6. Step 6: Final answer
    x = 258.22

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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.