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Finding the Fourth Proportional to 346.14, 477.49 and 297.14

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Solution

The fourth proportional to 346.14, 477.49 and 297.14 is: 409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.14 : 477.49 = 297.14 : x
  2. Step 2: Convert to fraction form
    346.14/477.49 = 297.14/x
  3. Step 3: Cross multiply
    346.14x = 477.49 × 297.14
  4. Step 4: Simplify right side
    346.14x = 141,881.38
  5. Step 5: Solve for x
    x = 141,881.38/346.14
  6. Step 6: Final answer
    x = 409.90

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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.