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Finding the Fourth Proportional to 529.06, 730.07 and 319.31

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Solution

The fourth proportional to 529.06, 730.07 and 319.31 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.06 : 730.07 = 319.31 : x
  2. Step 2: Convert to fraction form
    529.06/730.07 = 319.31/x
  3. Step 3: Cross multiply
    529.06x = 730.07 × 319.31
  4. Step 4: Simplify right side
    529.06x = 233,113.40
  5. Step 5: Solve for x
    x = 233,113.40/529.06
  6. Step 6: Final answer
    x = 440.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.