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Finding the Fourth Proportional to 454.40, 680.40 and 358.40

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Solution

The fourth proportional to 454.40, 680.40 and 358.40 is: 536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.40 : 680.40 = 358.40 : x
  2. Step 2: Convert to fraction form
    454.40/680.40 = 358.40/x
  3. Step 3: Cross multiply
    454.40x = 680.40 × 358.40
  4. Step 4: Simplify right side
    454.40x = 243,855.36
  5. Step 5: Solve for x
    x = 243,855.36/454.40
  6. Step 6: Final answer
    x = 536.65

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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.