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Finding the Fourth Proportional to 435.71, 652.89 and 253.19

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Solution

The fourth proportional to 435.71, 652.89 and 253.19 is: 379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.71 : 652.89 = 253.19 : x
  2. Step 2: Convert to fraction form
    435.71/652.89 = 253.19/x
  3. Step 3: Cross multiply
    435.71x = 652.89 × 253.19
  4. Step 4: Simplify right side
    435.71x = 165,302.32
  5. Step 5: Solve for x
    x = 165,302.32/435.71
  6. Step 6: Final answer
    x = 379.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.