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Finding the Fourth Proportional to 521.38, 719.58 and 505.24

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Solution

The fourth proportional to 521.38, 719.58 and 505.24 is: 697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.38 : 719.58 = 505.24 : x
  2. Step 2: Convert to fraction form
    521.38/719.58 = 505.24/x
  3. Step 3: Cross multiply
    521.38x = 719.58 × 505.24
  4. Step 4: Simplify right side
    521.38x = 363,560.60
  5. Step 5: Solve for x
    x = 363,560.60/521.38
  6. Step 6: Final answer
    x = 697.30

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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.