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Finding the Fourth Proportional to 608.64, 839.36 and 564.48

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Solution

The fourth proportional to 608.64, 839.36 and 564.48 is: 778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 839.36 = 564.48 : x
  2. Step 2: Convert to fraction form
    608.64/839.36 = 564.48/x
  3. Step 3: Cross multiply
    608.64x = 839.36 × 564.48
  4. Step 4: Simplify right side
    608.64x = 473,801.93
  5. Step 5: Solve for x
    x = 473,801.93/608.64
  6. Step 6: Final answer
    x = 778.46

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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.