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Finding the Fourth Proportional to 485.65, 729.20 and 304.21

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Solution

The fourth proportional to 485.65, 729.20 and 304.21 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.65 : 729.20 = 304.21 : x
  2. Step 2: Convert to fraction form
    485.65/729.20 = 304.21/x
  3. Step 3: Cross multiply
    485.65x = 729.20 × 304.21
  4. Step 4: Simplify right side
    485.65x = 221,827.50
  5. Step 5: Solve for x
    x = 221,827.50/485.65
  6. Step 6: Final answer
    x = 456.77

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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.