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Finding the Fourth Proportional to 415.64, 623.10 and 210.04

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Solution

The fourth proportional to 415.64, 623.10 and 210.04 is: 314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.64 : 623.10 = 210.04 : x
  2. Step 2: Convert to fraction form
    415.64/623.10 = 210.04/x
  3. Step 3: Cross multiply
    415.64x = 623.10 × 210.04
  4. Step 4: Simplify right side
    415.64x = 130,875.92
  5. Step 5: Solve for x
    x = 130,875.92/415.64
  6. Step 6: Final answer
    x = 314.88

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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.