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Finding the Fourth Proportional to 559.12, 772.06 and 362.56

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Solution

The fourth proportional to 559.12, 772.06 and 362.56 is: 500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.12 : 772.06 = 362.56 : x
  2. Step 2: Convert to fraction form
    559.12/772.06 = 362.56/x
  3. Step 3: Cross multiply
    559.12x = 772.06 × 362.56
  4. Step 4: Simplify right side
    559.12x = 279,918.07
  5. Step 5: Solve for x
    x = 279,918.07/559.12
  6. Step 6: Final answer
    x = 500.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.