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Finding the Fourth Proportional to 528.81, 729.05 and 418.65

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Solution

The fourth proportional to 528.81, 729.05 and 418.65 is: 577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.81 : 729.05 = 418.65 : x
  2. Step 2: Convert to fraction form
    528.81/729.05 = 418.65/x
  3. Step 3: Cross multiply
    528.81x = 729.05 × 418.65
  4. Step 4: Simplify right side
    528.81x = 305,214.69
  5. Step 5: Solve for x
    x = 305,214.69/528.81
  6. Step 6: Final answer
    x = 577.17

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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.