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Finding the Fourth Proportional to 690.82, 953.45 and 469.62

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Solution

The fourth proportional to 690.82, 953.45 and 469.62 is: 648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.82 : 953.45 = 469.62 : x
  2. Step 2: Convert to fraction form
    690.82/953.45 = 469.62/x
  3. Step 3: Cross multiply
    690.82x = 953.45 × 469.62
  4. Step 4: Simplify right side
    690.82x = 447,759.19
  5. Step 5: Solve for x
    x = 447,759.19/690.82
  6. Step 6: Final answer
    x = 648.16

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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.