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Finding the Fourth Proportional to 626.55, 864.51 and 346.77

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Solution

The fourth proportional to 626.55, 864.51 and 346.77 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.55 : 864.51 = 346.77 : x
  2. Step 2: Convert to fraction form
    626.55/864.51 = 346.77/x
  3. Step 3: Cross multiply
    626.55x = 864.51 × 346.77
  4. Step 4: Simplify right side
    626.55x = 299,785.27
  5. Step 5: Solve for x
    x = 299,785.27/626.55
  6. Step 6: Final answer
    x = 478.47

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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.