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Finding the Fourth Proportional to 346.04, 477.20 and 293.53

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Solution

The fourth proportional to 346.04, 477.20 and 293.53 is: 404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.04 : 477.20 = 293.53 : x
  2. Step 2: Convert to fraction form
    346.04/477.20 = 293.53/x
  3. Step 3: Cross multiply
    346.04x = 477.20 × 293.53
  4. Step 4: Simplify right side
    346.04x = 140,068.66
  5. Step 5: Solve for x
    x = 140,068.66/346.04
  6. Step 6: Final answer
    x = 404.78

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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.