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Finding the Fourth Proportional to 356.45, 534.06 and 275.04

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Solution

The fourth proportional to 356.45, 534.06 and 275.04 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.45 : 534.06 = 275.04 : x
  2. Step 2: Convert to fraction form
    356.45/534.06 = 275.04/x
  3. Step 3: Cross multiply
    356.45x = 534.06 × 275.04
  4. Step 4: Simplify right side
    356.45x = 146,887.86
  5. Step 5: Solve for x
    x = 146,887.86/356.45
  6. Step 6: Final answer
    x = 412.09

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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.