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Finding the Fourth Proportional to 468.40, 646.74 and 302.71

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Solution

The fourth proportional to 468.40, 646.74 and 302.71 is: 417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.40 : 646.74 = 302.71 : x
  2. Step 2: Convert to fraction form
    468.40/646.74 = 302.71/x
  3. Step 3: Cross multiply
    468.40x = 646.74 × 302.71
  4. Step 4: Simplify right side
    468.40x = 195,773.15
  5. Step 5: Solve for x
    x = 195,773.15/468.40
  6. Step 6: Final answer
    x = 417.96

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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.