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Finding the Fourth Proportional to 429.73, 595.52 and 421.51

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Solution

The fourth proportional to 429.73, 595.52 and 421.51 is: 584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.73 : 595.52 = 421.51 : x
  2. Step 2: Convert to fraction form
    429.73/595.52 = 421.51/x
  3. Step 3: Cross multiply
    429.73x = 595.52 × 421.51
  4. Step 4: Simplify right side
    429.73x = 251,017.64
  5. Step 5: Solve for x
    x = 251,017.64/429.73
  6. Step 6: Final answer
    x = 584.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.