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Finding the Fourth Proportional to 653.38, 901.68 and 358.67

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Solution

The fourth proportional to 653.38, 901.68 and 358.67 is: 494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.38 : 901.68 = 358.67 : x
  2. Step 2: Convert to fraction form
    653.38/901.68 = 358.67/x
  3. Step 3: Cross multiply
    653.38x = 901.68 × 358.67
  4. Step 4: Simplify right side
    653.38x = 323,405.57
  5. Step 5: Solve for x
    x = 323,405.57/653.38
  6. Step 6: Final answer
    x = 494.97

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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.