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Finding the Fourth Proportional to 971.27, 1,457.01 and 416.04

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Solution

The fourth proportional to 971.27, 1,457.01 and 416.04 is: 624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.27 : 1,457.01 = 416.04 : x
  2. Step 2: Convert to fraction form
    971.27/1,457.01 = 416.04/x
  3. Step 3: Cross multiply
    971.27x = 1,457.01 × 416.04
  4. Step 4: Simplify right side
    971.27x = 606,168.98
  5. Step 5: Solve for x
    x = 606,168.98/971.27
  6. Step 6: Final answer
    x = 624.10

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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.