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Finding the Fourth Proportional to 697.48, 961.74 and 435.16

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Solution

The fourth proportional to 697.48, 961.74 and 435.16 is: 600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 961.74 = 435.16 : x
  2. Step 2: Convert to fraction form
    697.48/961.74 = 435.16/x
  3. Step 3: Cross multiply
    697.48x = 961.74 × 435.16
  4. Step 4: Simplify right side
    697.48x = 418,510.78
  5. Step 5: Solve for x
    x = 418,510.78/697.48
  6. Step 6: Final answer
    x = 600.03

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