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Finding the Fourth Proportional to 536.27, 740.07 and 303.40

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Solution

The fourth proportional to 536.27, 740.07 and 303.40 is: 418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.27 : 740.07 = 303.40 : x
  2. Step 2: Convert to fraction form
    536.27/740.07 = 303.40/x
  3. Step 3: Cross multiply
    536.27x = 740.07 × 303.40
  4. Step 4: Simplify right side
    536.27x = 224,532.02
  5. Step 5: Solve for x
    x = 224,532.02/536.27
  6. Step 6: Final answer
    x = 418.69

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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.