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Finding the Fourth Proportional to 536.87, 740.93 and 340.44

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Solution

The fourth proportional to 536.87, 740.93 and 340.44 is: 469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.87 : 740.93 = 340.44 : x
  2. Step 2: Convert to fraction form
    536.87/740.93 = 340.44/x
  3. Step 3: Cross multiply
    536.87x = 740.93 × 340.44
  4. Step 4: Simplify right side
    536.87x = 252,240.51
  5. Step 5: Solve for x
    x = 252,240.51/536.87
  6. Step 6: Final answer
    x = 469.84

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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.