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Finding the Fourth Proportional to 485.77, 729.39 and 428.47

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Solution

The fourth proportional to 485.77, 729.39 and 428.47 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.77 : 729.39 = 428.47 : x
  2. Step 2: Convert to fraction form
    485.77/729.39 = 428.47/x
  3. Step 3: Cross multiply
    485.77x = 729.39 × 428.47
  4. Step 4: Simplify right side
    485.77x = 312,521.73
  5. Step 5: Solve for x
    x = 312,521.73/485.77
  6. Step 6: Final answer
    x = 643.35

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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.