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Finding the Fourth Proportional to 536.91, 740.97 and 315.90

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Solution

The fourth proportional to 536.91, 740.97 and 315.90 is: 435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.91 : 740.97 = 315.90 : x
  2. Step 2: Convert to fraction form
    536.91/740.97 = 315.90/x
  3. Step 3: Cross multiply
    536.91x = 740.97 × 315.90
  4. Step 4: Simplify right side
    536.91x = 234,072.42
  5. Step 5: Solve for x
    x = 234,072.42/536.91
  6. Step 6: Final answer
    x = 435.96

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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.