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Finding the Fourth Proportional to 536.63, 740.71 and 340.26

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Solution

The fourth proportional to 536.63, 740.71 and 340.26 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.63 : 740.71 = 340.26 : x
  2. Step 2: Convert to fraction form
    536.63/740.71 = 340.26/x
  3. Step 3: Cross multiply
    536.63x = 740.71 × 340.26
  4. Step 4: Simplify right side
    536.63x = 252,031.63
  5. Step 5: Solve for x
    x = 252,031.63/536.63
  6. Step 6: Final answer
    x = 469.66

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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.