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Finding the Fourth Proportional to 435.58, 653.37 and 381.81

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Solution

The fourth proportional to 435.58, 653.37 and 381.81 is: 572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.58 : 653.37 = 381.81 : x
  2. Step 2: Convert to fraction form
    435.58/653.37 = 381.81/x
  3. Step 3: Cross multiply
    435.58x = 653.37 × 381.81
  4. Step 4: Simplify right side
    435.58x = 249,464.22
  5. Step 5: Solve for x
    x = 249,464.22/435.58
  6. Step 6: Final answer
    x = 572.72

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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.