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Finding the Fourth Proportional to 528.61, 729.68 and 473.25

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Solution

The fourth proportional to 528.61, 729.68 and 473.25 is: 653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.61 : 729.68 = 473.25 : x
  2. Step 2: Convert to fraction form
    528.61/729.68 = 473.25/x
  3. Step 3: Cross multiply
    528.61x = 729.68 × 473.25
  4. Step 4: Simplify right side
    528.61x = 345,315.05
  5. Step 5: Solve for x
    x = 345,315.05/528.61
  6. Step 6: Final answer
    x = 653.26

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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.