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Finding the Fourth Proportional to 714.86, 986.46 and 416.08

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Solution

The fourth proportional to 714.86, 986.46 and 416.08 is: 574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.86 : 986.46 = 416.08 : x
  2. Step 2: Convert to fraction form
    714.86/986.46 = 416.08/x
  3. Step 3: Cross multiply
    714.86x = 986.46 × 416.08
  4. Step 4: Simplify right side
    714.86x = 410,446.28
  5. Step 5: Solve for x
    x = 410,446.28/714.86
  6. Step 6: Final answer
    x = 574.16

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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.