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Finding the Fourth Proportional to 529.76, 730.93 and 320.06

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Solution

The fourth proportional to 529.76, 730.93 and 320.06 is: 441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 730.93 = 320.06 : x
  2. Step 2: Convert to fraction form
    529.76/730.93 = 320.06/x
  3. Step 3: Cross multiply
    529.76x = 730.93 × 320.06
  4. Step 4: Simplify right side
    529.76x = 233,937.80
  5. Step 5: Solve for x
    x = 233,937.80/529.76
  6. Step 6: Final answer
    x = 441.59

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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.