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Finding the Fourth Proportional to 415.64, 623.46 and 172.16

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Solution

The fourth proportional to 415.64, 623.46 and 172.16 is: 258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.64 : 623.46 = 172.16 : x
  2. Step 2: Convert to fraction form
    415.64/623.46 = 172.16/x
  3. Step 3: Cross multiply
    415.64x = 623.46 × 172.16
  4. Step 4: Simplify right side
    415.64x = 107,334.01
  5. Step 5: Solve for x
    x = 107,334.01/415.64
  6. Step 6: Final answer
    x = 258.24

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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.