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Finding the Fourth Proportional to 536.55, 740.36 and 312.42

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Solution

The fourth proportional to 536.55, 740.36 and 312.42 is: 431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.55 : 740.36 = 312.42 : x
  2. Step 2: Convert to fraction form
    536.55/740.36 = 312.42/x
  3. Step 3: Cross multiply
    536.55x = 740.36 × 312.42
  4. Step 4: Simplify right side
    536.55x = 231,303.27
  5. Step 5: Solve for x
    x = 231,303.27/536.55
  6. Step 6: Final answer
    x = 431.09

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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.