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Finding the Fourth Proportional to 487.13, 729.52 and 304.30

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Solution

The fourth proportional to 487.13, 729.52 and 304.30 is: 455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.13 : 729.52 = 304.30 : x
  2. Step 2: Convert to fraction form
    487.13/729.52 = 304.30/x
  3. Step 3: Cross multiply
    487.13x = 729.52 × 304.30
  4. Step 4: Simplify right side
    487.13x = 221,992.94
  5. Step 5: Solve for x
    x = 221,992.94/487.13
  6. Step 6: Final answer
    x = 455.72

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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.