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Finding the Fourth Proportional to 429.90, 592.24 and 409.05

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Solution

The fourth proportional to 429.90, 592.24 and 409.05 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.90 : 592.24 = 409.05 : x
  2. Step 2: Convert to fraction form
    429.90/592.24 = 409.05/x
  3. Step 3: Cross multiply
    429.90x = 592.24 × 409.05
  4. Step 4: Simplify right side
    429.90x = 242,255.77
  5. Step 5: Solve for x
    x = 242,255.77/429.90
  6. Step 6: Final answer
    x = 563.52

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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.