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Finding the Fourth Proportional to 468.70, 646.77 and 282.15

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Solution

The fourth proportional to 468.70, 646.77 and 282.15 is: 389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.70 : 646.77 = 282.15 : x
  2. Step 2: Convert to fraction form
    468.70/646.77 = 282.15/x
  3. Step 3: Cross multiply
    468.70x = 646.77 × 282.15
  4. Step 4: Simplify right side
    468.70x = 182,486.16
  5. Step 5: Solve for x
    x = 182,486.16/468.70
  6. Step 6: Final answer
    x = 389.35

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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.