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Finding the Fourth Proportional to 600.71, 904.86 and 564.26

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Solution

The fourth proportional to 600.71, 904.86 and 564.26 is: 849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.71 : 904.86 = 564.26 : x
  2. Step 2: Convert to fraction form
    600.71/904.86 = 564.26/x
  3. Step 3: Cross multiply
    600.71x = 904.86 × 564.26
  4. Step 4: Simplify right side
    600.71x = 510,571.78
  5. Step 5: Solve for x
    x = 510,571.78/600.71
  6. Step 6: Final answer
    x = 849.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.