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Finding the Fourth Proportional to 482.66, 724.96 and 288.04

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Solution

The fourth proportional to 482.66, 724.96 and 288.04 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.66 : 724.96 = 288.04 : x
  2. Step 2: Convert to fraction form
    482.66/724.96 = 288.04/x
  3. Step 3: Cross multiply
    482.66x = 724.96 × 288.04
  4. Step 4: Simplify right side
    482.66x = 208,813.85
  5. Step 5: Solve for x
    x = 208,813.85/482.66
  6. Step 6: Final answer
    x = 432.64

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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.