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Finding the Fourth Proportional to 626.06, 864.34 and 416.18

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Solution

The fourth proportional to 626.06, 864.34 and 416.18 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.06 : 864.34 = 416.18 : x
  2. Step 2: Convert to fraction form
    626.06/864.34 = 416.18/x
  3. Step 3: Cross multiply
    626.06x = 864.34 × 416.18
  4. Step 4: Simplify right side
    626.06x = 359,721.02
  5. Step 5: Solve for x
    x = 359,721.02/626.06
  6. Step 6: Final answer
    x = 574.58

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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.