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Finding the Fourth Proportional to 562.26, 777.54 and 536.46

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Solution

The fourth proportional to 562.26, 777.54 and 536.46 is: 741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.26 : 777.54 = 536.46 : x
  2. Step 2: Convert to fraction form
    562.26/777.54 = 536.46/x
  3. Step 3: Cross multiply
    562.26x = 777.54 × 536.46
  4. Step 4: Simplify right side
    562.26x = 417,119.11
  5. Step 5: Solve for x
    x = 417,119.11/562.26
  6. Step 6: Final answer
    x = 741.86

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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.