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Finding the Fourth Proportional to 648.66, 972.93 and 324.24

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Solution

The fourth proportional to 648.66, 972.93 and 324.24 is: 486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.66 : 972.93 = 324.24 : x
  2. Step 2: Convert to fraction form
    648.66/972.93 = 324.24/x
  3. Step 3: Cross multiply
    648.66x = 972.93 × 324.24
  4. Step 4: Simplify right side
    648.66x = 315,462.82
  5. Step 5: Solve for x
    x = 315,462.82/648.66
  6. Step 6: Final answer
    x = 486.33

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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.