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Finding the Fourth Proportional to 503.21, 754.31 and 416.04

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Solution

The fourth proportional to 503.21, 754.31 and 416.04 is: 623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.21 : 754.31 = 416.04 : x
  2. Step 2: Convert to fraction form
    503.21/754.31 = 416.04/x
  3. Step 3: Cross multiply
    503.21x = 754.31 × 416.04
  4. Step 4: Simplify right side
    503.21x = 313,821.34
  5. Step 5: Solve for x
    x = 313,821.34/503.21
  6. Step 6: Final answer
    x = 623.64

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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.