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Finding the Fourth Proportional to 704.36, 1,056.94 and 416

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Solution

The fourth proportional to 704.36, 1,056.94 and 416 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.36 : 1,056.94 = 416 : x
  2. Step 2: Convert to fraction form
    704.36/1,056.94 = 416/x
  3. Step 3: Cross multiply
    704.36x = 1,056.94 × 416
  4. Step 4: Simplify right side
    704.36x = 439,687.04
  5. Step 5: Solve for x
    x = 439,687.04/704.36
  6. Step 6: Final answer
    x = 624.24

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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.