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Finding the Fourth Proportional to 536.62, 740.42 and 340.02

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Solution

The fourth proportional to 536.62, 740.42 and 340.02 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.62 : 740.42 = 340.02 : x
  2. Step 2: Convert to fraction form
    536.62/740.42 = 340.02/x
  3. Step 3: Cross multiply
    536.62x = 740.42 × 340.02
  4. Step 4: Simplify right side
    536.62x = 251,757.61
  5. Step 5: Solve for x
    x = 251,757.61/536.62
  6. Step 6: Final answer
    x = 469.15

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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.