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Finding the Fourth Proportional to 429.84, 593.76 and 412.08

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Solution

The fourth proportional to 429.84, 593.76 and 412.08 is: 569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 593.76 = 412.08 : x
  2. Step 2: Convert to fraction form
    429.84/593.76 = 412.08/x
  3. Step 3: Cross multiply
    429.84x = 593.76 × 412.08
  4. Step 4: Simplify right side
    429.84x = 244,676.62
  5. Step 5: Solve for x
    x = 244,676.62/429.84
  6. Step 6: Final answer
    x = 569.23

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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.