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Finding the Fourth Proportional to 536.42, 740.46 and 492.68

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Solution

The fourth proportional to 536.42, 740.46 and 492.68 is: 680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.42 : 740.46 = 492.68 : x
  2. Step 2: Convert to fraction form
    536.42/740.46 = 492.68/x
  3. Step 3: Cross multiply
    536.42x = 740.46 × 492.68
  4. Step 4: Simplify right side
    536.42x = 364,809.83
  5. Step 5: Solve for x
    x = 364,809.83/536.42
  6. Step 6: Final answer
    x = 680.08

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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.