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Finding the Fourth Proportional to 521.18, 719.23 and 285.13

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Solution

The fourth proportional to 521.18, 719.23 and 285.13 is: 393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.18 : 719.23 = 285.13 : x
  2. Step 2: Convert to fraction form
    521.18/719.23 = 285.13/x
  3. Step 3: Cross multiply
    521.18x = 719.23 × 285.13
  4. Step 4: Simplify right side
    521.18x = 205,070.45
  5. Step 5: Solve for x
    x = 205,070.45/521.18
  6. Step 6: Final answer
    x = 393.47

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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.