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Finding the Fourth Proportional to 435.12, 652.32 and 410.88

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Solution

The fourth proportional to 435.12, 652.32 and 410.88 is: 615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.12 : 652.32 = 410.88 : x
  2. Step 2: Convert to fraction form
    435.12/652.32 = 410.88/x
  3. Step 3: Cross multiply
    435.12x = 652.32 × 410.88
  4. Step 4: Simplify right side
    435.12x = 268,025.24
  5. Step 5: Solve for x
    x = 268,025.24/435.12
  6. Step 6: Final answer
    x = 615.98

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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.