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Finding the Fourth Proportional to 622.14, 856.41 and 538.08

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Solution

The fourth proportional to 622.14, 856.41 and 538.08 is: 740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.14 : 856.41 = 538.08 : x
  2. Step 2: Convert to fraction form
    622.14/856.41 = 538.08/x
  3. Step 3: Cross multiply
    622.14x = 856.41 × 538.08
  4. Step 4: Simplify right side
    622.14x = 460,814.40
  5. Step 5: Solve for x
    x = 460,814.40/622.14
  6. Step 6: Final answer
    x = 740.69

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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.