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Finding the Fourth Proportional to 653.66, 902.06 and 358.94

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Solution

The fourth proportional to 653.66, 902.06 and 358.94 is: 495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.66 : 902.06 = 358.94 : x
  2. Step 2: Convert to fraction form
    653.66/902.06 = 358.94/x
  3. Step 3: Cross multiply
    653.66x = 902.06 × 358.94
  4. Step 4: Simplify right side
    653.66x = 323,785.42
  5. Step 5: Solve for x
    x = 323,785.42/653.66
  6. Step 6: Final answer
    x = 495.34

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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.