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Finding the Fourth Proportional to 714.07, 985.36 and 415.33

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Solution

The fourth proportional to 714.07, 985.36 and 415.33 is: 573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.07 : 985.36 = 415.33 : x
  2. Step 2: Convert to fraction form
    714.07/985.36 = 415.33/x
  3. Step 3: Cross multiply
    714.07x = 985.36 × 415.33
  4. Step 4: Simplify right side
    714.07x = 409,249.57
  5. Step 5: Solve for x
    x = 409,249.57/714.07
  6. Step 6: Final answer
    x = 573.12

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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.