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Finding the Fourth Proportional to 468.84, 646.62 and 370.42

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Solution

The fourth proportional to 468.84, 646.62 and 370.42 is: 510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 646.62 = 370.42 : x
  2. Step 2: Convert to fraction form
    468.84/646.62 = 370.42/x
  3. Step 3: Cross multiply
    468.84x = 646.62 × 370.42
  4. Step 4: Simplify right side
    468.84x = 239,520.98
  5. Step 5: Solve for x
    x = 239,520.98/468.84
  6. Step 6: Final answer
    x = 510.88

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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.