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Finding the Fourth Proportional to 653.63, 901.98 and 404.96

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Solution

The fourth proportional to 653.63, 901.98 and 404.96 is: 558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.63 : 901.98 = 404.96 : x
  2. Step 2: Convert to fraction form
    653.63/901.98 = 404.96/x
  3. Step 3: Cross multiply
    653.63x = 901.98 × 404.96
  4. Step 4: Simplify right side
    653.63x = 365,261.31
  5. Step 5: Solve for x
    x = 365,261.31/653.63
  6. Step 6: Final answer
    x = 558.82

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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.