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Finding the Fourth Proportional to 485.73, 729.71 and 291.23

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Solution

The fourth proportional to 485.73, 729.71 and 291.23 is: 437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.73 : 729.71 = 291.23 : x
  2. Step 2: Convert to fraction form
    485.73/729.71 = 291.23/x
  3. Step 3: Cross multiply
    485.73x = 729.71 × 291.23
  4. Step 4: Simplify right side
    485.73x = 212,512.17
  5. Step 5: Solve for x
    x = 212,512.17/485.73
  6. Step 6: Final answer
    x = 437.51

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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.