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Finding the Fourth Proportional to 528.85, 730.02 and 473.50

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Solution

The fourth proportional to 528.85, 730.02 and 473.50 is: 653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.85 : 730.02 = 473.50 : x
  2. Step 2: Convert to fraction form
    528.85/730.02 = 473.50/x
  3. Step 3: Cross multiply
    528.85x = 730.02 × 473.50
  4. Step 4: Simplify right side
    528.85x = 345,664.47
  5. Step 5: Solve for x
    x = 345,664.47/528.85
  6. Step 6: Final answer
    x = 653.62

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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.