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Finding the Fourth Proportional to 435.68, 653.46 and 410.30

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Solution

The fourth proportional to 435.68, 653.46 and 410.30 is: 615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.68 : 653.46 = 410.30 : x
  2. Step 2: Convert to fraction form
    435.68/653.46 = 410.30/x
  3. Step 3: Cross multiply
    435.68x = 653.46 × 410.30
  4. Step 4: Simplify right side
    435.68x = 268,111.37
  5. Step 5: Solve for x
    x = 268,111.37/435.68
  6. Step 6: Final answer
    x = 615.39

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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.