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Finding the Fourth Proportional to 714.78, 985.84 and 466.18

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Solution

The fourth proportional to 714.78, 985.84 and 466.18 is: 642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.78 : 985.84 = 466.18 : x
  2. Step 2: Convert to fraction form
    714.78/985.84 = 466.18/x
  3. Step 3: Cross multiply
    714.78x = 985.84 × 466.18
  4. Step 4: Simplify right side
    714.78x = 459,575.26
  5. Step 5: Solve for x
    x = 459,575.26/714.78
  6. Step 6: Final answer
    x = 642.96

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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.