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Finding the Fourth Proportional to 468.55, 646.14 and 282.07

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Solution

The fourth proportional to 468.55, 646.14 and 282.07 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.55 : 646.14 = 282.07 : x
  2. Step 2: Convert to fraction form
    468.55/646.14 = 282.07/x
  3. Step 3: Cross multiply
    468.55x = 646.14 × 282.07
  4. Step 4: Simplify right side
    468.55x = 182,256.71
  5. Step 5: Solve for x
    x = 182,256.71/468.55
  6. Step 6: Final answer
    x = 388.98

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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.