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Finding the Fourth Proportional to 346.08, 477.42 and 206.08

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Solution

The fourth proportional to 346.08, 477.42 and 206.08 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.08 : 477.42 = 206.08 : x
  2. Step 2: Convert to fraction form
    346.08/477.42 = 206.08/x
  3. Step 3: Cross multiply
    346.08x = 477.42 × 206.08
  4. Step 4: Simplify right side
    346.08x = 98,386.71
  5. Step 5: Solve for x
    x = 98,386.71/346.08
  6. Step 6: Final answer
    x = 284.29

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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.