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Finding the Fourth Proportional to 653.61, 901.92 and 358.86

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Solution

The fourth proportional to 653.61, 901.92 and 358.86 is: 495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.61 : 901.92 = 358.86 : x
  2. Step 2: Convert to fraction form
    653.61/901.92 = 358.86/x
  3. Step 3: Cross multiply
    653.61x = 901.92 × 358.86
  4. Step 4: Simplify right side
    653.61x = 323,663.01
  5. Step 5: Solve for x
    x = 323,663.01/653.61
  6. Step 6: Final answer
    x = 495.19

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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.