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Finding the Fourth Proportional to 653.51, 901.85 and 404.87

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Solution

The fourth proportional to 653.51, 901.85 and 404.87 is: 558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.51 : 901.85 = 404.87 : x
  2. Step 2: Convert to fraction form
    653.51/901.85 = 404.87/x
  3. Step 3: Cross multiply
    653.51x = 901.85 × 404.87
  4. Step 4: Simplify right side
    653.51x = 365,125.48
  5. Step 5: Solve for x
    x = 365,125.48/653.51
  6. Step 6: Final answer
    x = 558.71

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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.