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Finding the Fourth Proportional to 626.59, 864.98 and 417.14

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Solution

The fourth proportional to 626.59, 864.98 and 417.14 is: 575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.59 : 864.98 = 417.14 : x
  2. Step 2: Convert to fraction form
    626.59/864.98 = 417.14/x
  3. Step 3: Cross multiply
    626.59x = 864.98 × 417.14
  4. Step 4: Simplify right side
    626.59x = 360,817.76
  5. Step 5: Solve for x
    x = 360,817.76/626.59
  6. Step 6: Final answer
    x = 575.84

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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.