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Finding the Fourth Proportional to 528.69, 730.17 and 412.08

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Solution

The fourth proportional to 528.69, 730.17 and 412.08 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.69 : 730.17 = 412.08 : x
  2. Step 2: Convert to fraction form
    528.69/730.17 = 412.08/x
  3. Step 3: Cross multiply
    528.69x = 730.17 × 412.08
  4. Step 4: Simplify right side
    528.69x = 300,888.45
  5. Step 5: Solve for x
    x = 300,888.45/528.69
  6. Step 6: Final answer
    x = 569.12

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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.