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Finding the Fourth Proportional to 468.57, 646.47 and 302.99

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Solution

The fourth proportional to 468.57, 646.47 and 302.99 is: 418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.57 : 646.47 = 302.99 : x
  2. Step 2: Convert to fraction form
    468.57/646.47 = 302.99/x
  3. Step 3: Cross multiply
    468.57x = 646.47 × 302.99
  4. Step 4: Simplify right side
    468.57x = 195,875.56
  5. Step 5: Solve for x
    x = 195,875.56/468.57
  6. Step 6: Final answer
    x = 418.03

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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.