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Finding the Fourth Proportional to 528.75, 729.51 and 332.21

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Solution

The fourth proportional to 528.75, 729.51 and 332.21 is: 458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.75 : 729.51 = 332.21 : x
  2. Step 2: Convert to fraction form
    528.75/729.51 = 332.21/x
  3. Step 3: Cross multiply
    528.75x = 729.51 × 332.21
  4. Step 4: Simplify right side
    528.75x = 242,346.87
  5. Step 5: Solve for x
    x = 242,346.87/528.75
  6. Step 6: Final answer
    x = 458.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.