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Finding the Fourth Proportional to 703.74, 971.16 and 423.96

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Solution

The fourth proportional to 703.74, 971.16 and 423.96 is: 585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.74 : 971.16 = 423.96 : x
  2. Step 2: Convert to fraction form
    703.74/971.16 = 423.96/x
  3. Step 3: Cross multiply
    703.74x = 971.16 × 423.96
  4. Step 4: Simplify right side
    703.74x = 411,732.99
  5. Step 5: Solve for x
    x = 411,732.99/703.74
  6. Step 6: Final answer
    x = 585.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.