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Finding the Fourth Proportional to 714.26, 985.37 and 465.53

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Solution

The fourth proportional to 714.26, 985.37 and 465.53 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.26 : 985.37 = 465.53 : x
  2. Step 2: Convert to fraction form
    714.26/985.37 = 465.53/x
  3. Step 3: Cross multiply
    714.26x = 985.37 × 465.53
  4. Step 4: Simplify right side
    714.26x = 458,712.04
  5. Step 5: Solve for x
    x = 458,712.04/714.26
  6. Step 6: Final answer
    x = 642.22

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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.