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Finding the Fourth Proportional to 346.30, 519.64 and 264.90

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Solution

The fourth proportional to 346.30, 519.64 and 264.90 is: 397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 519.64 = 264.90 : x
  2. Step 2: Convert to fraction form
    346.30/519.64 = 264.90/x
  3. Step 3: Cross multiply
    346.30x = 519.64 × 264.90
  4. Step 4: Simplify right side
    346.30x = 137,652.64
  5. Step 5: Solve for x
    x = 137,652.64/346.30
  6. Step 6: Final answer
    x = 397.50

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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.