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Finding the Fourth Proportional to 598.48, 826.07 and 362.43

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Solution

The fourth proportional to 598.48, 826.07 and 362.43 is: 500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.48 : 826.07 = 362.43 : x
  2. Step 2: Convert to fraction form
    598.48/826.07 = 362.43/x
  3. Step 3: Cross multiply
    598.48x = 826.07 × 362.43
  4. Step 4: Simplify right side
    598.48x = 299,388.42
  5. Step 5: Solve for x
    x = 299,388.42/598.48
  6. Step 6: Final answer
    x = 500.25

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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.