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Finding the Fourth Proportional to 466.41, 693.65 and 457.17

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Solution

The fourth proportional to 466.41, 693.65 and 457.17 is: 679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.41 : 693.65 = 457.17 : x
  2. Step 2: Convert to fraction form
    466.41/693.65 = 457.17/x
  3. Step 3: Cross multiply
    466.41x = 693.65 × 457.17
  4. Step 4: Simplify right side
    466.41x = 317,113.68
  5. Step 5: Solve for x
    x = 317,113.68/466.41
  6. Step 6: Final answer
    x = 679.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.