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Finding the Fourth Proportional to 653.66, 902.01 and 358.87

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Solution

The fourth proportional to 653.66, 902.01 and 358.87 is: 495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.66 : 902.01 = 358.87 : x
  2. Step 2: Convert to fraction form
    653.66/902.01 = 358.87/x
  3. Step 3: Cross multiply
    653.66x = 902.01 × 358.87
  4. Step 4: Simplify right side
    653.66x = 323,704.11
  5. Step 5: Solve for x
    x = 323,704.11/653.66
  6. Step 6: Final answer
    x = 495.22

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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.