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Finding the Fourth Proportional to 462.66, 638.57 and 315.64

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Solution

The fourth proportional to 462.66, 638.57 and 315.64 is: 435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 638.57 = 315.64 : x
  2. Step 2: Convert to fraction form
    462.66/638.57 = 315.64/x
  3. Step 3: Cross multiply
    462.66x = 638.57 × 315.64
  4. Step 4: Simplify right side
    462.66x = 201,558.23
  5. Step 5: Solve for x
    x = 201,558.23/462.66
  6. Step 6: Final answer
    x = 435.65

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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.