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Finding the Fourth Proportional to 598.80, 826.23 and 362.70

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Solution

The fourth proportional to 598.80, 826.23 and 362.70 is: 500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 826.23 = 362.70 : x
  2. Step 2: Convert to fraction form
    598.80/826.23 = 362.70/x
  3. Step 3: Cross multiply
    598.80x = 826.23 × 362.70
  4. Step 4: Simplify right side
    598.80x = 299,673.62
  5. Step 5: Solve for x
    x = 299,673.62/598.80
  6. Step 6: Final answer
    x = 500.46

Related Problems

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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.