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Finding the Fourth Proportional to 626.42, 864.86 and 405.77

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Solution

The fourth proportional to 626.42, 864.86 and 405.77 is: 560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.42 : 864.86 = 405.77 : x
  2. Step 2: Convert to fraction form
    626.42/864.86 = 405.77/x
  3. Step 3: Cross multiply
    626.42x = 864.86 × 405.77
  4. Step 4: Simplify right side
    626.42x = 350,927.89
  5. Step 5: Solve for x
    x = 350,927.89/626.42
  6. Step 6: Final answer
    x = 560.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.