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Finding the Fourth Proportional to 536.47, 740.34 and 303.59

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Solution

The fourth proportional to 536.47, 740.34 and 303.59 is: 418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.47 : 740.34 = 303.59 : x
  2. Step 2: Convert to fraction form
    536.47/740.34 = 303.59/x
  3. Step 3: Cross multiply
    536.47x = 740.34 × 303.59
  4. Step 4: Simplify right side
    536.47x = 224,762.22
  5. Step 5: Solve for x
    x = 224,762.22/536.47
  6. Step 6: Final answer
    x = 418.97

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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.