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Finding the Fourth Proportional to 653.71, 902.14 and 358.98

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Solution

The fourth proportional to 653.71, 902.14 and 358.98 is: 495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.71 : 902.14 = 358.98 : x
  2. Step 2: Convert to fraction form
    653.71/902.14 = 358.98/x
  3. Step 3: Cross multiply
    653.71x = 902.14 × 358.98
  4. Step 4: Simplify right side
    653.71x = 323,850.22
  5. Step 5: Solve for x
    x = 323,850.22/653.71
  6. Step 6: Final answer
    x = 495.40

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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.