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Finding the Fourth Proportional to 536.58, 740.81 and 340.43

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Solution

The fourth proportional to 536.58, 740.81 and 340.43 is: 470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.58 : 740.81 = 340.43 : x
  2. Step 2: Convert to fraction form
    536.58/740.81 = 340.43/x
  3. Step 3: Cross multiply
    536.58x = 740.81 × 340.43
  4. Step 4: Simplify right side
    536.58x = 252,191.10
  5. Step 5: Solve for x
    x = 252,191.10/536.58
  6. Step 6: Final answer
    x = 470.00

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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.