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Finding the Fourth Proportional to 436.52, 653.82 and 407.24

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Solution

The fourth proportional to 436.52, 653.82 and 407.24 is: 609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.52 : 653.82 = 407.24 : x
  2. Step 2: Convert to fraction form
    436.52/653.82 = 407.24/x
  3. Step 3: Cross multiply
    436.52x = 653.82 × 407.24
  4. Step 4: Simplify right side
    436.52x = 266,261.66
  5. Step 5: Solve for x
    x = 266,261.66/436.52
  6. Step 6: Final answer
    x = 609.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.