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Finding the Fourth Proportional to 649.68, 974.64 and 324.24

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Solution

The fourth proportional to 649.68, 974.64 and 324.24 is: 486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.68 : 974.64 = 324.24 : x
  2. Step 2: Convert to fraction form
    649.68/974.64 = 324.24/x
  3. Step 3: Cross multiply
    649.68x = 974.64 × 324.24
  4. Step 4: Simplify right side
    649.68x = 316,017.27
  5. Step 5: Solve for x
    x = 316,017.27/649.68
  6. Step 6: Final answer
    x = 486.42

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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.