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Finding the Fourth Proportional to 468.30, 646.50 and 302.74

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Solution

The fourth proportional to 468.30, 646.50 and 302.74 is: 417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.30 : 646.50 = 302.74 : x
  2. Step 2: Convert to fraction form
    468.30/646.50 = 302.74/x
  3. Step 3: Cross multiply
    468.30x = 646.50 × 302.74
  4. Step 4: Simplify right side
    468.30x = 195,721.41
  5. Step 5: Solve for x
    x = 195,721.41/468.30
  6. Step 6: Final answer
    x = 417.94

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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.