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Finding the Fourth Proportional to 653.17, 901.65 and 404.41

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Solution

The fourth proportional to 653.17, 901.65 and 404.41 is: 558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.17 : 901.65 = 404.41 : x
  2. Step 2: Convert to fraction form
    653.17/901.65 = 404.41/x
  3. Step 3: Cross multiply
    653.17x = 901.65 × 404.41
  4. Step 4: Simplify right side
    653.17x = 364,636.28
  5. Step 5: Solve for x
    x = 364,636.28/653.17
  6. Step 6: Final answer
    x = 558.26

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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.