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Finding the Fourth Proportional to 436.40, 653.84 and 364.16

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Solution

The fourth proportional to 436.40, 653.84 and 364.16 is: 545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.40 : 653.84 = 364.16 : x
  2. Step 2: Convert to fraction form
    436.40/653.84 = 364.16/x
  3. Step 3: Cross multiply
    436.40x = 653.84 × 364.16
  4. Step 4: Simplify right side
    436.40x = 238,102.37
  5. Step 5: Solve for x
    x = 238,102.37/436.40
  6. Step 6: Final answer
    x = 545.61

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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.