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Finding the Fourth Proportional to 528.68, 730.29 and 459.65

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Solution

The fourth proportional to 528.68, 730.29 and 459.65 is: 634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.68 : 730.29 = 459.65 : x
  2. Step 2: Convert to fraction form
    528.68/730.29 = 459.65/x
  3. Step 3: Cross multiply
    528.68x = 730.29 × 459.65
  4. Step 4: Simplify right side
    528.68x = 335,674.15
  5. Step 5: Solve for x
    x = 335,674.15/528.68
  6. Step 6: Final answer
    x = 634.93

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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.