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Finding the Fourth Proportional to 714.25, 985.01 and 465.48

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Solution

The fourth proportional to 714.25, 985.01 and 465.48 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.25 : 985.01 = 465.48 : x
  2. Step 2: Convert to fraction form
    714.25/985.01 = 465.48/x
  3. Step 3: Cross multiply
    714.25x = 985.01 × 465.48
  4. Step 4: Simplify right side
    714.25x = 458,501.87
  5. Step 5: Solve for x
    x = 458,501.87/714.25
  6. Step 6: Final answer
    x = 641.93

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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.