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Finding the Fourth Proportional to 653.09, 901.19 and 358.35

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Solution

The fourth proportional to 653.09, 901.19 and 358.35 is: 494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.09 : 901.19 = 358.35 : x
  2. Step 2: Convert to fraction form
    653.09/901.19 = 358.35/x
  3. Step 3: Cross multiply
    653.09x = 901.19 × 358.35
  4. Step 4: Simplify right side
    653.09x = 322,939.64
  5. Step 5: Solve for x
    x = 322,939.64/653.09
  6. Step 6: Final answer
    x = 494.48

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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.