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Finding the Fourth Proportional to 564.24, 777.84 and 416.88

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Solution

The fourth proportional to 564.24, 777.84 and 416.88 is: 574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 777.84 = 416.88 : x
  2. Step 2: Convert to fraction form
    564.24/777.84 = 416.88/x
  3. Step 3: Cross multiply
    564.24x = 777.84 × 416.88
  4. Step 4: Simplify right side
    564.24x = 324,265.94
  5. Step 5: Solve for x
    x = 324,265.94/564.24
  6. Step 6: Final answer
    x = 574.70

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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.