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Finding the Fourth Proportional to 529.90, 795.62 and 299.24

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Solution

The fourth proportional to 529.90, 795.62 and 299.24 is: 449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.90 : 795.62 = 299.24 : x
  2. Step 2: Convert to fraction form
    529.90/795.62 = 299.24/x
  3. Step 3: Cross multiply
    529.90x = 795.62 × 299.24
  4. Step 4: Simplify right side
    529.90x = 238,081.33
  5. Step 5: Solve for x
    x = 238,081.33/529.90
  6. Step 6: Final answer
    x = 449.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.