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Finding the Fourth Proportional to 528.64, 727.84 and 450.06

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Solution

The fourth proportional to 528.64, 727.84 and 450.06 is: 619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.64 : 727.84 = 450.06 : x
  2. Step 2: Convert to fraction form
    528.64/727.84 = 450.06/x
  3. Step 3: Cross multiply
    528.64x = 727.84 × 450.06
  4. Step 4: Simplify right side
    528.64x = 327,571.67
  5. Step 5: Solve for x
    x = 327,571.67/528.64
  6. Step 6: Final answer
    x = 619.65

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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.