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Finding the Fourth Proportional to 536.49, 740.64 and 449.01

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Solution

The fourth proportional to 536.49, 740.64 and 449.01 is: 619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.49 : 740.64 = 449.01 : x
  2. Step 2: Convert to fraction form
    536.49/740.64 = 449.01/x
  3. Step 3: Cross multiply
    536.49x = 740.64 × 449.01
  4. Step 4: Simplify right side
    536.49x = 332,554.77
  5. Step 5: Solve for x
    x = 332,554.77/536.49
  6. Step 6: Final answer
    x = 619.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.