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Finding the Fourth Proportional to 653.70, 902.14 and 358.99

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Solution

The fourth proportional to 653.70, 902.14 and 358.99 is: 495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.70 : 902.14 = 358.99 : x
  2. Step 2: Convert to fraction form
    653.70/902.14 = 358.99/x
  3. Step 3: Cross multiply
    653.70x = 902.14 × 358.99
  4. Step 4: Simplify right side
    653.70x = 323,860.83
  5. Step 5: Solve for x
    x = 323,860.83/653.70
  6. Step 6: Final answer
    x = 495.42

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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.