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Finding the Fourth Proportional to 655.66, 983.59 and 304.19

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Solution

The fourth proportional to 655.66, 983.59 and 304.19 is: 456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.66 : 983.59 = 304.19 : x
  2. Step 2: Convert to fraction form
    655.66/983.59 = 304.19/x
  3. Step 3: Cross multiply
    655.66x = 983.59 × 304.19
  4. Step 4: Simplify right side
    655.66x = 299,191.80
  5. Step 5: Solve for x
    x = 299,191.80/655.66
  6. Step 6: Final answer
    x = 456.33

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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.