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Finding the Fourth Proportional to 622.32, 858.24 and 534.96

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Solution

The fourth proportional to 622.32, 858.24 and 534.96 is: 737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.32 : 858.24 = 534.96 : x
  2. Step 2: Convert to fraction form
    622.32/858.24 = 534.96/x
  3. Step 3: Cross multiply
    622.32x = 858.24 × 534.96
  4. Step 4: Simplify right side
    622.32x = 459,124.07
  5. Step 5: Solve for x
    x = 459,124.07/622.32
  6. Step 6: Final answer
    x = 737.76

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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.