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Finding the Fourth Proportional to 626.07, 864 and 346.32

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Solution

The fourth proportional to 626.07, 864 and 346.32 is: 477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.07 : 864 = 346.32 : x
  2. Step 2: Convert to fraction form
    626.07/864 = 346.32/x
  3. Step 3: Cross multiply
    626.07x = 864 × 346.32
  4. Step 4: Simplify right side
    626.07x = 299,220.48
  5. Step 5: Solve for x
    x = 299,220.48/626.07
  6. Step 6: Final answer
    x = 477.93

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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.