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Finding the Fourth Proportional to 529.56, 730.32 and 383.16

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Solution

The fourth proportional to 529.56, 730.32 and 383.16 is: 528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.56 : 730.32 = 383.16 : x
  2. Step 2: Convert to fraction form
    529.56/730.32 = 383.16/x
  3. Step 3: Cross multiply
    529.56x = 730.32 × 383.16
  4. Step 4: Simplify right side
    529.56x = 279,829.41
  5. Step 5: Solve for x
    x = 279,829.41/529.56
  6. Step 6: Final answer
    x = 528.42

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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.