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Finding the Fourth Proportional to 536.70, 740.64 and 297.43

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Solution

The fourth proportional to 536.70, 740.64 and 297.43 is: 410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 740.64 = 297.43 : x
  2. Step 2: Convert to fraction form
    536.70/740.64 = 297.43/x
  3. Step 3: Cross multiply
    536.70x = 740.64 × 297.43
  4. Step 4: Simplify right side
    536.70x = 220,286.70
  5. Step 5: Solve for x
    x = 220,286.70/536.70
  6. Step 6: Final answer
    x = 410.45

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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.