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Finding the Fourth Proportional to 536.52, 740.48 and 303.64

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Solution

The fourth proportional to 536.52, 740.48 and 303.64 is: 419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.52 : 740.48 = 303.64 : x
  2. Step 2: Convert to fraction form
    536.52/740.48 = 303.64/x
  3. Step 3: Cross multiply
    536.52x = 740.48 × 303.64
  4. Step 4: Simplify right side
    536.52x = 224,839.35
  5. Step 5: Solve for x
    x = 224,839.35/536.52
  6. Step 6: Final answer
    x = 419.07

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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.