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Finding the Fourth Proportional to 549.90, 825.12 and 429.24

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Solution

The fourth proportional to 549.90, 825.12 and 429.24 is: 644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 825.12 = 429.24 : x
  2. Step 2: Convert to fraction form
    549.90/825.12 = 429.24/x
  3. Step 3: Cross multiply
    549.90x = 825.12 × 429.24
  4. Step 4: Simplify right side
    549.90x = 354,174.51
  5. Step 5: Solve for x
    x = 354,174.51/549.90
  6. Step 6: Final answer
    x = 644.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.