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Finding the Fourth Proportional to 564.15, 779.46 and 438.62

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Solution

The fourth proportional to 564.15, 779.46 and 438.62 is: 606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.15 : 779.46 = 438.62 : x
  2. Step 2: Convert to fraction form
    564.15/779.46 = 438.62/x
  3. Step 3: Cross multiply
    564.15x = 779.46 × 438.62
  4. Step 4: Simplify right side
    564.15x = 341,886.75
  5. Step 5: Solve for x
    x = 341,886.75/564.15
  6. Step 6: Final answer
    x = 606.02

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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.