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Finding the Fourth Proportional to 435.59, 653.12 and 175.71

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Solution

The fourth proportional to 435.59, 653.12 and 175.71 is: 263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.59 : 653.12 = 175.71 : x
  2. Step 2: Convert to fraction form
    435.59/653.12 = 175.71/x
  3. Step 3: Cross multiply
    435.59x = 653.12 × 175.71
  4. Step 4: Simplify right side
    435.59x = 114,759.72
  5. Step 5: Solve for x
    x = 114,759.72/435.59
  6. Step 6: Final answer
    x = 263.46

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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.