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Finding the Fourth Proportional to 648.18, 972.54 and 323.64

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Solution

The fourth proportional to 648.18, 972.54 and 323.64 is: 485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 972.54 = 323.64 : x
  2. Step 2: Convert to fraction form
    648.18/972.54 = 323.64/x
  3. Step 3: Cross multiply
    648.18x = 972.54 × 323.64
  4. Step 4: Simplify right side
    648.18x = 314,752.85
  5. Step 5: Solve for x
    x = 314,752.85/648.18
  6. Step 6: Final answer
    x = 485.59

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1.5x scale

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.