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Finding the Fourth Proportional to 437.58, 659.38 and 362.24

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Solution

The fourth proportional to 437.58, 659.38 and 362.24 is: 545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.58 : 659.38 = 362.24 : x
  2. Step 2: Convert to fraction form
    437.58/659.38 = 362.24/x
  3. Step 3: Cross multiply
    437.58x = 659.38 × 362.24
  4. Step 4: Simplify right side
    437.58x = 238,850.80
  5. Step 5: Solve for x
    x = 238,850.80/437.58
  6. Step 6: Final answer
    x = 545.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.