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Finding the Fourth Proportional to 435.86, 653.80 and 219.32

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Solution

The fourth proportional to 435.86, 653.80 and 219.32 is: 328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.86 : 653.80 = 219.32 : x
  2. Step 2: Convert to fraction form
    435.86/653.80 = 219.32/x
  3. Step 3: Cross multiply
    435.86x = 653.80 × 219.32
  4. Step 4: Simplify right side
    435.86x = 143,387.60
  5. Step 5: Solve for x
    x = 143,387.60/435.86
  6. Step 6: Final answer
    x = 328.98

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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.