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Finding the Fourth Proportional to 564.63, 778.35 and 417

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Solution

The fourth proportional to 564.63, 778.35 and 417 is: 574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.63 : 778.35 = 417 : x
  2. Step 2: Convert to fraction form
    564.63/778.35 = 417/x
  3. Step 3: Cross multiply
    564.63x = 778.35 × 417
  4. Step 4: Simplify right side
    564.63x = 324,571.95
  5. Step 5: Solve for x
    x = 324,571.95/564.63
  6. Step 6: Final answer
    x = 574.84

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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.