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Finding the Fourth Proportional to 417.24, 624.70 and 378.76

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Solution

The fourth proportional to 417.24, 624.70 and 378.76 is: 567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 624.70 = 378.76 : x
  2. Step 2: Convert to fraction form
    417.24/624.70 = 378.76/x
  3. Step 3: Cross multiply
    417.24x = 624.70 × 378.76
  4. Step 4: Simplify right side
    417.24x = 236,611.37
  5. Step 5: Solve for x
    x = 236,611.37/417.24
  6. Step 6: Final answer
    x = 567.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.