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Finding the Fourth Proportional to 485.64, 728.76 and 280.08

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Solution

The fourth proportional to 485.64, 728.76 and 280.08 is: 420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.64 : 728.76 = 280.08 : x
  2. Step 2: Convert to fraction form
    485.64/728.76 = 280.08/x
  3. Step 3: Cross multiply
    485.64x = 728.76 × 280.08
  4. Step 4: Simplify right side
    485.64x = 204,111.10
  5. Step 5: Solve for x
    x = 204,111.10/485.64
  6. Step 6: Final answer
    x = 420.29

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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.