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Finding the Fourth Proportional to 714.37, 984.65 and 478.23

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Solution

The fourth proportional to 714.37, 984.65 and 478.23 is: 659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.37 : 984.65 = 478.23 : x
  2. Step 2: Convert to fraction form
    714.37/984.65 = 478.23/x
  3. Step 3: Cross multiply
    714.37x = 984.65 × 478.23
  4. Step 4: Simplify right side
    714.37x = 470,894.06
  5. Step 5: Solve for x
    x = 470,894.06/714.37
  6. Step 6: Final answer
    x = 659.17

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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.