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Finding the Fourth Proportional to 521.81, 719.93 and 366.29

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Solution

The fourth proportional to 521.81, 719.93 and 366.29 is: 505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.81 : 719.93 = 366.29 : x
  2. Step 2: Convert to fraction form
    521.81/719.93 = 366.29/x
  3. Step 3: Cross multiply
    521.81x = 719.93 × 366.29
  4. Step 4: Simplify right side
    521.81x = 263,703.16
  5. Step 5: Solve for x
    x = 263,703.16/521.81
  6. Step 6: Final answer
    x = 505.36

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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.