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Finding the Fourth Proportional to 440.24, 659.39 and 358.20

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Solution

The fourth proportional to 440.24, 659.39 and 358.20 is: 536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.24 : 659.39 = 358.20 : x
  2. Step 2: Convert to fraction form
    440.24/659.39 = 358.20/x
  3. Step 3: Cross multiply
    440.24x = 659.39 × 358.20
  4. Step 4: Simplify right side
    440.24x = 236,191.71
  5. Step 5: Solve for x
    x = 236,191.71/440.24
  6. Step 6: Final answer
    x = 536.51

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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.