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Finding the Fourth Proportional to 468.78, 646.29 and 435.30

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Solution

The fourth proportional to 468.78, 646.29 and 435.30 is: 600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 646.29 = 435.30 : x
  2. Step 2: Convert to fraction form
    468.78/646.29 = 435.30/x
  3. Step 3: Cross multiply
    468.78x = 646.29 × 435.30
  4. Step 4: Simplify right side
    468.78x = 281,330.04
  5. Step 5: Solve for x
    x = 281,330.04/468.78
  6. Step 6: Final answer
    x = 600.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.