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Finding the Fourth Proportional to 653.16, 901.31 and 358.44

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Solution

The fourth proportional to 653.16, 901.31 and 358.44 is: 494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.16 : 901.31 = 358.44 : x
  2. Step 2: Convert to fraction form
    653.16/901.31 = 358.44/x
  3. Step 3: Cross multiply
    653.16x = 901.31 × 358.44
  4. Step 4: Simplify right side
    653.16x = 323,069.68
  5. Step 5: Solve for x
    x = 323,069.68/653.16
  6. Step 6: Final answer
    x = 494.63

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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.