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Finding the Fourth Proportional to 435.04, 652.55 and 409.67

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Solution

The fourth proportional to 435.04, 652.55 and 409.67 is: 614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.04 : 652.55 = 409.67 : x
  2. Step 2: Convert to fraction form
    435.04/652.55 = 409.67/x
  3. Step 3: Cross multiply
    435.04x = 652.55 × 409.67
  4. Step 4: Simplify right side
    435.04x = 267,327.29
  5. Step 5: Solve for x
    x = 267,327.29/435.04
  6. Step 6: Final answer
    x = 614.49

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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.