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Finding the Fourth Proportional to 622.66, 858.72 and 511.50

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Solution

The fourth proportional to 622.66, 858.72 and 511.50 is: 705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.66 : 858.72 = 511.50 : x
  2. Step 2: Convert to fraction form
    622.66/858.72 = 511.50/x
  3. Step 3: Cross multiply
    622.66x = 858.72 × 511.50
  4. Step 4: Simplify right side
    622.66x = 439,235.28
  5. Step 5: Solve for x
    x = 439,235.28/622.66
  6. Step 6: Final answer
    x = 705.42

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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.