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Finding the Fourth Proportional to 714.63, 986.36 and 420

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Solution

The fourth proportional to 714.63, 986.36 and 420 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.63 : 986.36 = 420 : x
  2. Step 2: Convert to fraction form
    714.63/986.36 = 420/x
  3. Step 3: Cross multiply
    714.63x = 986.36 × 420
  4. Step 4: Simplify right side
    714.63x = 414,271.20
  5. Step 5: Solve for x
    x = 414,271.20/714.63
  6. Step 6: Final answer
    x = 579.70

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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.