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Finding the Fourth Proportional to 328.30, 452.85 and 210.04

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Solution

The fourth proportional to 328.30, 452.85 and 210.04 is: 289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.30 : 452.85 = 210.04 : x
  2. Step 2: Convert to fraction form
    328.30/452.85 = 210.04/x
  3. Step 3: Cross multiply
    328.30x = 452.85 × 210.04
  4. Step 4: Simplify right side
    328.30x = 95,116.61
  5. Step 5: Solve for x
    x = 95,116.61/328.30
  6. Step 6: Final answer
    x = 289.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.