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Finding the Fourth Proportional to 653.48, 901.82 and 358.73

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Solution

The fourth proportional to 653.48, 901.82 and 358.73 is: 495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.48 : 901.82 = 358.73 : x
  2. Step 2: Convert to fraction form
    653.48/901.82 = 358.73/x
  3. Step 3: Cross multiply
    653.48x = 901.82 × 358.73
  4. Step 4: Simplify right side
    653.48x = 323,509.89
  5. Step 5: Solve for x
    x = 323,509.89/653.48
  6. Step 6: Final answer
    x = 495.06

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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.