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Finding the Fourth Proportional to 653.54, 901.87 and 358.83

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Solution

The fourth proportional to 653.54, 901.87 and 358.83 is: 495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.54 : 901.87 = 358.83 : x
  2. Step 2: Convert to fraction form
    653.54/901.87 = 358.83/x
  3. Step 3: Cross multiply
    653.54x = 901.87 × 358.83
  4. Step 4: Simplify right side
    653.54x = 323,617.12
  5. Step 5: Solve for x
    x = 323,617.12/653.54
  6. Step 6: Final answer
    x = 495.18

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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.