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Finding the Fourth Proportional to 468.52, 646.36 and 302.72

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Solution

The fourth proportional to 468.52, 646.36 and 302.72 is: 417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 646.36 = 302.72 : x
  2. Step 2: Convert to fraction form
    468.52/646.36 = 302.72/x
  3. Step 3: Cross multiply
    468.52x = 646.36 × 302.72
  4. Step 4: Simplify right side
    468.52x = 195,666.10
  5. Step 5: Solve for x
    x = 195,666.10/468.52
  6. Step 6: Final answer
    x = 417.63

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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.