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Finding the Fourth Proportional to 435.62, 653.66 and 432.08

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Solution

The fourth proportional to 435.62, 653.66 and 432.08 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.62 : 653.66 = 432.08 : x
  2. Step 2: Convert to fraction form
    435.62/653.66 = 432.08/x
  3. Step 3: Cross multiply
    435.62x = 653.66 × 432.08
  4. Step 4: Simplify right side
    435.62x = 282,433.41
  5. Step 5: Solve for x
    x = 282,433.41/435.62
  6. Step 6: Final answer
    x = 648.36

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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.