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Finding the Fourth Proportional to 360.29, 536.61 and 337.82

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Solution

The fourth proportional to 360.29, 536.61 and 337.82 is: 503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.29 : 536.61 = 337.82 : x
  2. Step 2: Convert to fraction form
    360.29/536.61 = 337.82/x
  3. Step 3: Cross multiply
    360.29x = 536.61 × 337.82
  4. Step 4: Simplify right side
    360.29x = 181,276.17
  5. Step 5: Solve for x
    x = 181,276.17/360.29
  6. Step 6: Final answer
    x = 503.14

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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.