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Finding the Fourth Proportional to 626.34, 864.14 and 427.16

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Solution

The fourth proportional to 626.34, 864.14 and 427.16 is: 589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.34 : 864.14 = 427.16 : x
  2. Step 2: Convert to fraction form
    626.34/864.14 = 427.16/x
  3. Step 3: Cross multiply
    626.34x = 864.14 × 427.16
  4. Step 4: Simplify right side
    626.34x = 369,126.04
  5. Step 5: Solve for x
    x = 369,126.04/626.34
  6. Step 6: Final answer
    x = 589.34

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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.