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Finding the Fourth Proportional to 653.01, 901.11 and 358.23

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Solution

The fourth proportional to 653.01, 901.11 and 358.23 is: 494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.01 : 901.11 = 358.23 : x
  2. Step 2: Convert to fraction form
    653.01/901.11 = 358.23/x
  3. Step 3: Cross multiply
    653.01x = 901.11 × 358.23
  4. Step 4: Simplify right side
    653.01x = 322,804.64
  5. Step 5: Solve for x
    x = 322,804.64/653.01
  6. Step 6: Final answer
    x = 494.33

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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.