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Finding the Fourth Proportional to 688.06, 948.03 and 466.62

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Solution

The fourth proportional to 688.06, 948.03 and 466.62 is: 642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.06 : 948.03 = 466.62 : x
  2. Step 2: Convert to fraction form
    688.06/948.03 = 466.62/x
  3. Step 3: Cross multiply
    688.06x = 948.03 × 466.62
  4. Step 4: Simplify right side
    688.06x = 442,369.76
  5. Step 5: Solve for x
    x = 442,369.76/688.06
  6. Step 6: Final answer
    x = 642.92

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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.