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Finding the Fourth Proportional to 485.90, 728.48 and 242.24

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Solution

The fourth proportional to 485.90, 728.48 and 242.24 is: 363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.90 : 728.48 = 242.24 : x
  2. Step 2: Convert to fraction form
    485.90/728.48 = 242.24/x
  3. Step 3: Cross multiply
    485.90x = 728.48 × 242.24
  4. Step 4: Simplify right side
    485.90x = 176,467.00
  5. Step 5: Solve for x
    x = 176,467.00/485.90
  6. Step 6: Final answer
    x = 363.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.