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Finding the Fourth Proportional to 529.12, 730.56 and 412.48

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Solution

The fourth proportional to 529.12, 730.56 and 412.48 is: 569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.12 : 730.56 = 412.48 : x
  2. Step 2: Convert to fraction form
    529.12/730.56 = 412.48/x
  3. Step 3: Cross multiply
    529.12x = 730.56 × 412.48
  4. Step 4: Simplify right side
    529.12x = 301,341.39
  5. Step 5: Solve for x
    x = 301,341.39/529.12
  6. Step 6: Final answer
    x = 569.51

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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.