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Finding the Fourth Proportional to 528.56, 729.54 and 416.46

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Solution

The fourth proportional to 528.56, 729.54 and 416.46 is: 574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.56 : 729.54 = 416.46 : x
  2. Step 2: Convert to fraction form
    528.56/729.54 = 416.46/x
  3. Step 3: Cross multiply
    528.56x = 729.54 × 416.46
  4. Step 4: Simplify right side
    528.56x = 303,824.23
  5. Step 5: Solve for x
    x = 303,824.23/528.56
  6. Step 6: Final answer
    x = 574.82

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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.