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Finding the Fourth Proportional to 536.84, 740.81 and 337.71

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Solution

The fourth proportional to 536.84, 740.81 and 337.71 is: 466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.84 : 740.81 = 337.71 : x
  2. Step 2: Convert to fraction form
    536.84/740.81 = 337.71/x
  3. Step 3: Cross multiply
    536.84x = 740.81 × 337.71
  4. Step 4: Simplify right side
    536.84x = 250,178.95
  5. Step 5: Solve for x
    x = 250,178.95/536.84
  6. Step 6: Final answer
    x = 466.02

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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.