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Finding the Fourth Proportional to 952.95, 1,428.39 and 405.39

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Solution

The fourth proportional to 952.95, 1,428.39 and 405.39 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.95 : 1,428.39 = 405.39 : x
  2. Step 2: Convert to fraction form
    952.95/1,428.39 = 405.39/x
  3. Step 3: Cross multiply
    952.95x = 1,428.39 × 405.39
  4. Step 4: Simplify right side
    952.95x = 579,055.02
  5. Step 5: Solve for x
    x = 579,055.02/952.95
  6. Step 6: Final answer
    x = 607.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.