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Finding the Fourth Proportional to 697.12, 961.50 and 435.04

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Solution

The fourth proportional to 697.12, 961.50 and 435.04 is: 600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.12 : 961.50 = 435.04 : x
  2. Step 2: Convert to fraction form
    697.12/961.50 = 435.04/x
  3. Step 3: Cross multiply
    697.12x = 961.50 × 435.04
  4. Step 4: Simplify right side
    697.12x = 418,290.96
  5. Step 5: Solve for x
    x = 418,290.96/697.12
  6. Step 6: Final answer
    x = 600.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.