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Finding the Fourth Proportional to 360.72, 538.20 and 340.02

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Solution

The fourth proportional to 360.72, 538.20 and 340.02 is: 507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.72 : 538.20 = 340.02 : x
  2. Step 2: Convert to fraction form
    360.72/538.20 = 340.02/x
  3. Step 3: Cross multiply
    360.72x = 538.20 × 340.02
  4. Step 4: Simplify right side
    360.72x = 182,998.76
  5. Step 5: Solve for x
    x = 182,998.76/360.72
  6. Step 6: Final answer
    x = 507.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.