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Finding the Fourth Proportional to 466.34, 703.01 and 394.70

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Solution

The fourth proportional to 466.34, 703.01 and 394.70 is: 595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.34 : 703.01 = 394.70 : x
  2. Step 2: Convert to fraction form
    466.34/703.01 = 394.70/x
  3. Step 3: Cross multiply
    466.34x = 703.01 × 394.70
  4. Step 4: Simplify right side
    466.34x = 277,478.05
  5. Step 5: Solve for x
    x = 277,478.05/466.34
  6. Step 6: Final answer
    x = 595.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.