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Finding the Fourth Proportional to 714.63, 985.97 and 466.31

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Solution

The fourth proportional to 714.63, 985.97 and 466.31 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.63 : 985.97 = 466.31 : x
  2. Step 2: Convert to fraction form
    714.63/985.97 = 466.31/x
  3. Step 3: Cross multiply
    714.63x = 985.97 × 466.31
  4. Step 4: Simplify right side
    714.63x = 459,760.41
  5. Step 5: Solve for x
    x = 459,760.41/714.63
  6. Step 6: Final answer
    x = 643.35

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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.